{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "view-in-github"
   },
   "source": [
    "<a href=\"https://colab.research.google.com/github/jermwatt/machine_learning_refined/blob/main/notes/7_Linear_multiclass_classification/7_2_OvA.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "-tGhe-aVOONE"
   },
   "source": [
    "## Chapter 7: Linear multi-class classification"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This notebook contains interactive content from an early draft of the university textbook <a href=\"https://github.com/neonwatty/machine-learning-refined/tree/main\">\n",
    "Machine Learning Refined (2nd edition) </a>.\n",
    "\n",
    "The final draft significantly expands on this content and is available for <a href=\"https://github.com/neonwatty/machine-learning-refined/tree/main/chapter_pdfs\"> download as a PDF here</a>."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "LnRkIQU-OONG"
   },
   "source": [
    "# 7.2  One-versus-All Multi-Class Classification"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "QgfJoGo-OONG"
   },
   "source": [
    "In practice many classification problems have more than two classes we wish to distinguish, e.g., face recognition, hand gesture recognition, general object detection, speech recognition, and more.  However because it has only two sides, a single linear separator is fundamentally insufficient as a mechanism for differentiating between more than two classes of data. Nonetheless we can use our understanding of two-class classification to overcome this shortcoming when dealing with $C>2$ classes by learning $C$ linear classifiers (one per class), each distinguishing one class from the rest of the data. \n",
    "\n",
    "The heart of the matter is how we should combine these individual classifiers to create a reasonable multi-class decision boundary. In this Section we develop this basic scheme - called *One-versus-All* multi-class classification - step-by-step by studying how such an idea should unfold on a toy dataset. With due diligence and a little common sense we can intuitively derive universal ideas regarding multiclass classification that are the basis for most popular multi-class classification schemes, including One-versus-All (OvA) classification."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "id": "fscK5CP4OONH"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Requirement already satisfied: github-clone in /Users/jeremywatt/Desktop/machine-learning-refined/venv/lib/python3.10/site-packages (1.2.0)\n",
      "Requirement already satisfied: requests>=2.20.0 in /Users/jeremywatt/Desktop/machine-learning-refined/venv/lib/python3.10/site-packages (from github-clone) (2.32.3)\n",
      "Requirement already satisfied: docopt>=0.6.2 in /Users/jeremywatt/Desktop/machine-learning-refined/venv/lib/python3.10/site-packages (from github-clone) (0.6.2)\n",
      "Requirement already satisfied: charset-normalizer<4,>=2 in /Users/jeremywatt/Desktop/machine-learning-refined/venv/lib/python3.10/site-packages (from requests>=2.20.0->github-clone) (3.4.0)\n",
      "Requirement already satisfied: idna<4,>=2.5 in /Users/jeremywatt/Desktop/machine-learning-refined/venv/lib/python3.10/site-packages (from requests>=2.20.0->github-clone) (3.10)\n",
      "Requirement already satisfied: urllib3<3,>=1.21.1 in /Users/jeremywatt/Desktop/machine-learning-refined/venv/lib/python3.10/site-packages (from requests>=2.20.0->github-clone) (2.2.3)\n",
      "Requirement already satisfied: certifi>=2017.4.17 in /Users/jeremywatt/Desktop/machine-learning-refined/venv/lib/python3.10/site-packages (from requests>=2.20.0->github-clone) (2024.12.14)\n",
      "\n",
      "\u001b[1m[\u001b[0m\u001b[34;49mnotice\u001b[0m\u001b[1;39;49m]\u001b[0m\u001b[39;49m A new release of pip is available: \u001b[0m\u001b[31;49m24.2\u001b[0m\u001b[39;49m -> \u001b[0m\u001b[32;49m24.3.1\u001b[0m\n",
      "\u001b[1m[\u001b[0m\u001b[34;49mnotice\u001b[0m\u001b[1;39;49m]\u001b[0m\u001b[39;49m To update, run: \u001b[0m\u001b[32;49mpip install --upgrade pip\u001b[0m\n",
      "chapter_7_library already cloned!\n",
      "chapter_7_datasets already cloned!\n",
      "chapter_7_images already cloned!\n"
     ]
    }
   ],
   "source": [
    "# install github clone - allows for easy cloning of subdirectories\n",
    "!pip install github-clone\n",
    "from pathlib import Path \n",
    "\n",
    "# clone datasets\n",
    "if not Path('chapter_7_library').is_dir():\n",
    "    !ghclone https://github.com/neonwatty/machine-learning-refined-notes-assets/tree/main/notes/7_Linear_multiclass_classification/chapter_7_library\n",
    "else:\n",
    "    print('chapter_7_library already cloned!')\n",
    "\n",
    "# clone library subdirectory\n",
    "if not Path('chapter_7_datasets').is_dir():\n",
    "    !ghclone https://github.com/neonwatty/machine-learning-refined-notes-assets/tree/main/notes/7_Linear_multiclass_classification/chapter_7_datasets\n",
    "else:\n",
    "    print('chapter_7_datasets already cloned!')\n",
    "\n",
    "# clone datasets\n",
    "if not Path('chapter_7_images').is_dir():\n",
    "    !ghclone https://github.com/neonwatty/machine-learning-refined-notes-assets/tree/main/notes/7_Linear_multiclass_classification/chapter_7_images\n",
    "else:\n",
    "    print('chapter_7_images already cloned!')\n",
    "        \n",
    "# append path for local library, data, and image import\n",
    "import sys\n",
    "sys.path.append('./chapter_7_library') \n",
    "\n",
    "# import section helper\n",
    "import section_7_2_helpers\n",
    "\n",
    "# datasets\n",
    "dataset_path_1 = 'chapter_7_datasets/3class_data.csv'\n",
    "dataset_path_2 = 'chapter_7_datasets/4class_data.csv'\n",
    "\n",
    "# imports\n",
    "from IPython.display import Image\n",
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "import autograd.numpy as np\n",
    "\n",
    "# this is needed to compensate for matplotlib notebook's tendancy to blow up images when plotted inline\n",
    "%matplotlib inline\n",
    "from matplotlib import rcParams\n",
    "rcParams['figure.autolayout'] = True\n",
    "\n",
    "%load_ext autoreload\n",
    "%autoreload 2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "8gSaWA41OONI"
   },
   "source": [
    "## Notation and modeling"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "cFaeL7YIOONI"
   },
   "source": [
    "A multiclass dataset $\\left\\{ \\left(\\mathbf{x}_{p,}\\,y_{p}\\right)\\right\\} _{p=1}^{P}$\n",
    "consists of $C$ distinct classes of data. As with the two class case we can in theory use *any $C$ distinct labels* to distinguish between the classes.  For the sake of this derivation it is convenient to use label values $y_{p}\\in\\left\\{ 0,1,...,C-1\\right\\} $, which is what we will use throughout this Section.  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "VKVZ6cC4OONI"
   },
   "source": [
    "Below we show a prototypical toy $C = 3$ class dataset we will use in our derivation of OvA.  Afterwards we will apply what we have developed to other datasets as well.  Here the points colored blue have label value $y_p = 0$, those colored red have label value $y_p = 1$, and those colored green have label value $y_p = 2$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 297
    },
    "id": "kB4PnDeTOONJ",
    "outputId": "d98e986a-85e3-4e41-f168-f6ebf2feeb56"
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1700x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# load in dataset\n",
    "data = np.loadtxt(dataset_path_1,delimiter = ',')\n",
    "\n",
    "# create an instance of the ova demo\n",
    "demo1 = section_7_2_helpers.OvaVsualizer(data)\n",
    "\n",
    "# visualize dataset\n",
    "demo1.show_dataset()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "j1jcblCKOONJ"
   },
   "source": [
    "##  Training  $C$ One-versus-All classifiers"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "s8UBjC45OONK"
   },
   "source": [
    "The first step of OvA classification is simple - we reduce the new problem of multi-class classification into a sequence of smaller problems that we are already familiar with. If we reflect for a moment on what we want, one way of phrasing the goal of multi-class classification is that *we want to learn how to distinguish each class of our data from the other $C-1$ classes*.  From this perspective it certainly seems that a good first step towards accomplishing our goal would be to learn $C$ two-class classifiers on the entire dataset, with the $c^{th}$ classifier trained to distinguish the $c^{th}$ class from the remainder of the data.  With the $c^{th}$ two-class subproblem we simply assign temporary labels $\\tilde y_p$ to the entire dataset, giving $+1$ labels to the $c^{th}$ class and $-1$ labels to the remainder of the dataset\n",
    "\n",
    "\\begin{equation}\n",
    "\\tilde y_p = \\begin{cases}   +1 \\,\\,\\,\\,\\,\\,\\text{if}\\,\\, y_p = c \\\\ -1 \\,\\,\\,\\,\\,\\,\\text{if}\\,\\, y_p \\neq c    \\end{cases}\n",
    "\\end{equation}\n",
    "\n",
    "where again $y_p$ is the original label for the $p^{th}$ point, and run the two-class classification scheme of our choice."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "-9001YprOONK"
   },
   "source": [
    "Doing this for our $C = 3$ dataset in this case we end up learning 3 linear classifiers - here we use logistic regression for each subproblem, solving each using Newton's method. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "hNqcdf2JOONK"
   },
   "source": [
    "With our classifiers trained we can now illustrate our learned decision boundaries - each learned to distinguish a single class from the remainder of the data. Below we plot two rows of images - in the top row our original dataset is plotted three times with each instance showing just one of the three two-class classifiers learned.  The single class being distinguished is colored with its original color - with the corresponding learned decision boundary colored similarly - and all other data is colored gray. In the bottom row the dataset is shown with along with all three learned decision boundaries all at once."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "id": "oZuFLwrIOONK",
    "outputId": "d6d80797-9f55-4811-cf64-5594b51adf60"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 900x500 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# solve the 2-class subproblems\n",
    "demo1.solve_2class_subproblems()\n",
    "\n",
    "# illustrate dataset with each subproblem and learned decision boundary\n",
    "demo1.plot_data_and_subproblem_separators()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "pF26NawOOONL"
   },
   "source": [
    "##   Points on the positive side of a single classifier"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "I8kwlodBOONL"
   },
   "source": [
    "With OvA we learn $C$ two-class classifiers, and we can denote the weights from the $c^{th}$ classifier as $\\mathbf{w}_c$ where\n",
    "\n",
    "\n",
    "\\begin{equation}\n",
    "\\mathbf{w}_c=\\begin{bmatrix}\n",
    "w_{0,c}\\\\\n",
    "w_{1,c}\\\\\n",
    "w_{2,c}\\\\\n",
    "\\vdots\\\\\n",
    "w_{N,c}\n",
    "\\end{bmatrix}\n",
    "\\end{equation}\n",
    "\n",
    "and then the corresponding decision boundary as \n",
    "\n",
    "\\begin{equation}\n",
    "\\mathring{\\mathbf{x}}_{\\,}^T \\mathbf{w}_c = 0.\n",
    "\\end{equation}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "W9ubmkyoOONL"
   },
   "source": [
    "Now note how in the figure above how in each case - because each subproblem is perfectly linearly separable and because of our choice of temporary labels - that the class to be distinguished from the rest lies on the *positive side* of its respective classifier, with the remainder of the points lying on the *negative side*.  This of course means that for the $j^{th}$ classifier we have for the $p^{th}$ point $\\mathbf{x}_p$ that\n",
    "\n",
    "\\begin{equation}\n",
    "\\mathring{\\mathbf{x}}_{\\,}^T \\mathbf{w}_c  \\begin{cases}   > 0 \\,\\,\\,\\,\\,\\,\\text{if}\\,\\,\\, y_p = c  \\\\ < 0 \\,\\,\\,\\,\\,\\, \\text{if} \\,\\,\\, y_p \\neq c.    \\end{cases}\n",
    "\\end{equation}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "EKMmdWEQOONM"
   },
   "source": [
    "This implies that - when evaluated by each two-class classifier individually - the one identifying a point's true label always provides the largest evaluation, i.e.,\n",
    "\n",
    "\\begin{equation}\n",
    "\\mathring{\\mathbf{x}}_{\\,}^T \\mathbf{w}_j  = \\underset{c \\,=\\, 0,...,C-1}{\\text{max}} \\,\\,\\,\\mathring{\\mathbf{x}}_{\\,}^T \\mathbf{w}_c \n",
    "\\end{equation}\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "EaKnr0KLOONM"
   },
   "source": [
    "So we know how to classify the points that we have, what about those we do not?  How do we classify arbitrary points in the space of our example?  Lets figure this out step-by-step.  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "atusj83qOONM"
   },
   "source": [
    "First, those points that lie solely on the positive side of the $j^{th}$ classifier only - like the points we already have - should clearly belong to the $j^{th}$ class.  Such a point $\\mathbf{x}$ lies close to those we already have, also clearly satisfying the condition that \n",
    "\n",
    "\\begin{equation}\n",
    "\\mathring{\\mathbf{x}}_{\\,}^T \\mathbf{w}_j = \\underset{c \\,=\\, 0,...,C-1}{\\text{max}} \\,\\,\\,\\mathring{\\mathbf{x}}_{\\,}^T \\mathbf{w}_c\n",
    "\\end{equation}\n",
    "\n",
    "Therefore to get the associated label $y$ we therefore want the *maximum argument* of the right hand side - since this gives the index associated with the largest classifier.  Formally then the predicted label $y$ for input point $\\mathbf{x}$ here can be written as\n",
    "\n",
    "\\begin{equation}\n",
    "y =  \\underset{c \\,=\\, 0,...,C-1}{\\text{argmax}} \\,\\,\\,\\mathring{\\mathbf{x}}_{\\,}^T \\mathbf{w}_c\n",
    "\\end{equation}\n",
    "\n",
    "We color in the points representing these areas of the space of our dataset in the Python cell below.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "id": "xD8FBSd9OONM",
    "outputId": "11123585-1f6b-4fba-9bb1-4ac2a9226914"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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7S6X9gPitLVuSmZfSCgKilIWyfGIvvM7CuInqBhPCRkjRJISduG/sFFaTBYArTvh8lMG5c+dUTiWaiszMTB58IRUinlQWqiuIyIpn04J58qScEFaSokkIO9E+KJg9t7anBmVw77iacBLfkHubBBQXFzN41FKqei+2rHntmcr2hTNwc22hYjIhbIsUTULYkdsnTmEzxwFoR0tOvbKFqqoqlVMJNRmNRu4dMYOz3VaCgzJ01+HAErZNv5uggHbqhhPCxkjRJIQd6TPgVj7pUGE5fqI0iH/9618qJhJqmzBtNj95zwUXH2Xh2Gck3aXlLz36qhtMCBskRZMQdkSj0dB50mj2UwTAAPz5elEiZrNZ5WRCDW+89Q6rjw0G7whl4Xw6U3y3M/q+B9QN1ohKdDqSt25lw4YNJG/dSomMGRLXwUntAEKI+hV93wiSXniT18t9AbjrkBM//vgjf/nLX1ROJhrTrl27mLKuAiJrWwlUFHJbwSJWvLz46p9oJ/R6PQkJK0hJScFYbbSsO2u1REfHMHNmPB4eHiomFLZIrjQJYWdcXF2pfjyGcyjbdA8QzAcvSvuB5iQ3N5chMz/BHDldWTAZCTo4hc3/mIujo6Oq2RqDXq8nbtw4krcmY6w2EoEXMQQSjhdVRiPJW5MZGxeHwWBQO6qwMVI0CWGH/jpqIokapf2AEw502JpLfn6+yqlEYzAYDAweuYDy3i9b1lqkzeTrBePxcvdUMVnjSUhYQU5ODr64ksQtbGAQi7iRjQwiiVvwxZWcnBwSEhLUjipsjBRNQtghvzbt+OXOMIy17QfGmruw6pU3VE4lGprJZGL449PJ6/wyOCpDdzWZb7A57kbCOgSrnK5xlOh0pKSkALCE/vTG7zcf740fS+gPQEpKitzjJK6JFE1C2Km7Jk7lI5TRKr64on9rOxUVFX/wWcKWPTt3ITscJoNbG2Xh1NcsH1DEnQNvUTdYI0pNTbVsyf2+YLqkF76WrbrU1NRGTihsmRRNQtipyF438nl43fGY8mDWr1unXiDRoNat38DyPZHg21tZKM1hpNN6pj/yhLrBGplBrwcgmCvf5K1BY/n4pfOFsIYUTULYscjJ4/iBAgC604ofFr8n7QfsUFpaGqNfPQohDyoLVXr6HJvD6lmzm92IFA9P5b6tPK58k7cZs+Xjl84XwhpSNAlhxwbdfT/veZ2yHA895s7OnTtVTCTq2+nTp4kev4rqXvOVBbMJ/58nkfLPWThrndUNp4KoqCictVqyKGUfhZc9Zz9FZFOKs1ZLVFRUIycUtkyKJiHsmJNWi/OYv5JPGQCxdOTDxa+rnErUl4qKCu4a8SwlPVda1rR75/HV7BH4+bRWL5iKfLy9iY5WelPNIo19FGJGubpqxsw+CplFGgAxMTH4eHurFVXYII3Zymv1KRng4Qqu2oaOJISoT7rzRfyn/928UNMHgJWkE5vzAZ07d1Y5mbgeZrOZBx+bxMemv4NHR2Uxey0f313B8EEx6oZT2aU+TTk5OQCE40UwHuRhIJtSAEJDQ0lKTJQGl0JRaQRDJcREXvU0udIkhJ3zbuVLXmxPKqgGYDQRJCa8pnIqcb0Wv7Scjw0j6gqmgh+ZH57R7AsmAE9PT5ISExkaG4uzVks2pXxJvmVLbmhsrBRM4k+RK01CNAM5h9MxxExmLF0AeMb1Z547t1N+adioLVuSuS+hECKeVBbK8oktnMXmxf9sdjd+/5ESnY7U1FQMej0enp5ERUXJlpz4X1ZeaZKiSYhmYtnQGDYdVK5KZKPjy5U3M2XaVJVTiWuVmZlJnyfWUtX3JWWhuoKIA0+w95UXcHNtoW44IWyVbM8JIX6t/+QJfIPyJF043qQv3YjJZFI5lbgWxcXFDB61jKredUN3vdKmsH3hDCmYhGgEUjSJJkWnK2Hr1mQ2bNjA1q3J6HQlakeyG7cMGsI637pHsB843Ypt27apmEhcC6PRyL0jZnC220pwUIbuOux/kW0z7iEooJ264YRoJpzUDiAEKE+7JKxIICUlhWqj0bKu1ToTHRPNzPiZcv/NdXJ0dMRn3MPkLk4jBE/uIpCxi97k3nvvVTuasMKEabP5yXsuuHgrC8c+Iynamb/06KtqLiGaE7nSJFSn1+sZNy6OrcnJSsHkFQGBMeAVjtFYxdbkZOLixmIwXLnDr7DO0L+N4R3nI5bjfj/o+eWXX1RMJKzxxlvvsPrYYPCOUBbOpzPFdzuj73tA3WBCNDNSNNkRW93aSliRoPRTcfWFW5Jg0Aa4cREM2qgcu/qSk5NDQkKC2lFtnrunFwX3D8RAFQCPE07S0ldUTiWuZteuXUxZVwFBta0EKgq5rWARK6bNVDeYEM2QPD1nB2x5a0unKyHm7ruV3LckgV/v/z2pcB98Oxat1plt277A29un8YPakeO52Zy6YzRTUJ4Smev0MzMLvqJVq1YqJxO/l5ubS48HV1Der7avlslIh7THOfjKHLzcZWaaEPVGnp5rHmx9ays1NbUu9+UKJgDfXpb3k5qa2qj57FHHkHC+H+BrOX6qOoLV7ySqmEhcjsFgYPCjCyjvvdyy1iJtJjsWPCUFkxAqkaLJxtn61pZeX1vMeQRf+SSNxvJxy/niukRNmsTnnACgA+4cXf4x1dXVKqcSl5hMJoY/Pp280JfBURm6q8l8nc1xNxLW4SrfK0KIBiVFkw3T6UpISUlRDvov+d8rNX69lXUgJSWlSd7j5OlZu21oyLvySWaz5eOW88V1GXDLnXzYrtRy/GhxAJ999pl6gcRvPDt3ITscJoNbG2Xh1NcsH1DMnQNvUTeYEM2cFE02zB62tqKiotBqnaE0S7l36XKK9kNpNlqtM1FRUY2az15pNBraT3iMX1AK6Vtoy7ZF76icSgCsW7+B5Xsiwbf2e7o0h5FO65n+yBPqBhNCSNFky+xha8vb24fomGjlIG2WUjhdejbBbFaO02YBEBMTIzeB16N773+cVa65luNb91ezd+9eFROJtLQ0Rr96FEIeVBaq9PQ5NofVs2bLTDkhmgBpbmnD7GVrK35GPIcPHVLuzfp2LHiFK4WeIQ9KswEIDQ0lPj5e5aT2pYVbS8pG3E7JmkJ8cOFvdObpJa/Q56P31Y7WLJ0+fZq7xr9Ddb8kZcFswv/nSaQkzMJZ66xuOCEEIFeabJq9bG15enqSmJhEbOzQ2veTDflfWnLHxg4lMTGpybZNsGV/fXIySWQB4IIjfp8coqCgQOVUzU9FRQV3PfIMup51PbO0e+exfc6j+Pm0VjGZEOLXpE+TjXt+4fNsTU5Wnp7rv0S5h0mjUa4wFe1XtrYqi4iNHcqCBQvUjvuHdLoSUlNT0esNeHp6EBUVJVtyDWz56IdZu9MTJxw4ywWS5nVm3j+eVztWs2E2m3ngsUl8Yp4F7h2Uxey1fHx3BcMHxagbTojmwso+TVI02bhLfZpycnKUhStsbcmVGnEl+9NS8XxwIQ8SAsAkj59JKPwOFxcXlZM1D4uWvMy8HwZCQO2V4IIfmd/mE14YN0ndYEI0J9LcsnmQrS1xvXr2u5nPgqssx6MNHfhw0yYVEzUfW7YkMy+lVV3BVJZP7IXXWRg3Ud1gQojLkitNdkS2tsSftfXf7zPk6c30xQ+AJ8MPs/rwLnliqwFlZmbS54m1VPV9SVmoriDiwBPsfeUF3FxbqBtOiOZGtueEENaquniRD/pG8WZZHwA+4ijtvn2+yT48YOuKi4uJjJnJ2V6rwcERAK8fxpL+4hiCAtqpnE6IZki254QQ1nJ2cYEn7uEsFwAYTjDrXnxN5VT2yWg0cu+IeM52W2kpmBz2v8i2GfdIwSREEydFkxACgPuemMAqB6X9gBMOhGw7zokTJ1ROZX8mTJvNT95zwMVbWTj2GUnRzvylR19Vcwkh/pgUTUIIAHz9A8iO6UIVNQCMNUewasXrKqeyL2+89Q6rjw0G7whl4Xw6U3y3M/q+B9QNJoSwihRNQgiLmAnT2MRRAFrhSvmqbygvL1c5lX3YtWsXU9ZVQFBt76WKQm4rWMSKaTPVDSaEsJoUTUIIi67d+7Ktq6PleOyFYNZ98IGKiexDbm4uQ2Z+jDlyurJgMtLh4FQ2/2Mujo6OV/1cIUTTIUWTEOI3ek1+ilTOAtCNVqS9+AFWPmQrLsNgMDD40QWU915uWWuRNpMdC57Cy91TxWRCiGslRZMQ4jf+L3oY7/ucsRz/9YQHO3bsUDGR7TKZTAx/fDp5oS+DozJ0V5P5OpvjbiSsQ7DK6YQQ10qKJiHEbzg5OeE2djgnKANgCB3512K5IfzPeHbuQnY4TAa3NsrCqa9ZPqCYOwfeom4wIcSfIkWTEOJ/3PfoON5xyrYcR+4q4siRIyomsj3r1m9g+Z5I8O2tLJTmMNJpPdMfeULdYEKIP02KJiHE//DybsXJoX24QDUAowkn8eVXVU5lO9LS0hj96lEIeVBZqNLT59gcVs+aLaNphLBhUjQJIS5ryPipfIBydckDZzTv/UBpaanKqZq+06dPc9f4d6juNV9ZMJvw/3kSKf+chbPWWd1wQojrIkWTEOKyOod3Y2dvd8vxuKow3lu9RsVETV9FRQV3PfIMup6vWNa0e+exfc6j+Pm0VjGZEKI+SNEkhLiigZMnsp18ADrjSebSTdTU1Kicqmkym82MjJtJZuCLoG2pLGavZdNDHekR1lXdcEKIeiFFkxDiim6+/R42+Bdbjh8u8OPzzz9XMVHTtfil5XxiGAHuHZSFgh+ZH57B8EEx6gYTQtQbKZqEEFfk4OCA3/hHOIJyL9Mg2rNl0Vsqp2p6tmxJZl5KKwiIUhbK8om98DoL4yaqG0wIUa+kaBJCXNW9D45mlXOO5XjA7nLS09NVTNS0ZGZm8uALqRDxpLJQXUFEVjybFsyTJ+WEsDNSNAkhrsrdw5PzD96MnioARhLGmqXSfgCguLiYwaOWUdV7sWXNK20K2xfOwM21hYrJhBANQYomIcQfGjpuKu+SBUALnHDftJ+ioiKVU6nLaDRy74h4znZbCQ7K0F2H/S+ybcY9BAW0UzecEKJBSNEkhPhDgR0788NNbTChDO59qjqc1W+vUjmVuiZMm81P3nPAxVtZOPYZSdHO/KVHX1VzCSEajhRNQgir3DZpMls5AUAg7hxL+BSj0ahyKnW88dY7rD42GLwjlIXz6Uzx3c7o+x5QN5gQokFJ0SSEsEr/m+7gX4FlluPHStrxySefqJhIHbt27WLKugoIqm0lUFHIbQWLWDFtprrBhBANToomIYRVNBoNHSc+TjrnAbiJAL5a1Ly26HJzcxky82PMkdOVBZORDgensvkfc3F0dFQ1mxCi4UnRJGyKTlfC1q3JbNiwga1bk9HpStSO1KzcPWwkiS3yLMe3p5tJS0tTMVHj0ev1DH50AeW9l1vW3NKeZseCp/By91QxmRCisTipHUAIa+j1ehJWJJCSkkL1r+6j0WqdiY6JZmb8TDw8PFRM2Dy4tnDj4qODKU46Q2tceYgQ4pe8Sv+PP1A7WoMymUwMf3w6eaEvg6MydFeT+Tqbx91IWIdgldMJIRqLXGkSTZ5er2fcuDi2JicrBZNXBATGgFc4RmMVW5OTiYsbi8FgUDtqszD0yUkkaZT2A8440vazbM6cOaNyqob17NyFfO04BdzaKAv5O1g+oJjBA6LUDSaEaFRSNIkmL2FFAjk5OeDqC7ckwaANcOMiGLRROXb1JScnh4SEBLWjNgsB7YI4eHsnqjEBEGeKIPG1N1VO1XDWrd/A8j2R4NtbWSjNYaR2A9MfeULdYEKIRidFk2jSdLoSUlJSlIP+S8Cv929P8OutrAMpKSlyj1MjGTRpKh+j3NvkTwsKX99GZWWlyqnqX1paGqNfPQohDyoLVXr6HJvD6lmzZUSKEM2QFE2iSUtNTa3bkvt9wXSJby/LVl1qamqj5muuevT5C5tDqy3HTxo6smnjRhUT1b/Tp09z1/h3qO41X1kwm/D/eRIp/5yFs9ZZ3XBCCFVI0SSaNL2+9j4lj6vcbKvRWD5uOV80KI1Gww2TxrKbcwD0xpf/LlqD2WxWOVn9qKio4K5HnkHX8xXLmnbvPLbPeRQ/n9YqJhNCqEmKJtGkeXrWPhFnyLvySWaz5eOW80WDG3zvQ6zxzLcc33u0Bf/9739VTFQ/zGYzI+Nmkhn4ImhbKovZa9n0UEd6hHVVN5wQQlVSNIkmLSoqCq3WGUqzoHDf5U8q2g+l2Wi1zkRFydNMjUXr7IzT6FhOUw7AX+nIhsWvqZzq+i1+aTmfGB4F9w7KQsGPzA/PYPigGHWDCSFUJ0WTaNK8vX2IjolWDtJmKYXTpS0gs1k5TpsFQExMDN7ePiolvTp7bcp532PjWeWotB9wxIGwr05x7NgxdUNdhy1bkpmX0goCblYWyvKJvfA6C+MmqhtMCCuV6HQkb93Khg0bSN66lRKdTu1IdkVjtvImhJQM8HAFV21DRxLity71acrJyVEWvMKVe5gMeVCaDUBoaCiJiUlNrsFlc2jKuXLyaJK2OuKCIyVcZNnU1ix+Zfkff2ITk5mZSZ8n1lLV9yVlobqCiANPsPeVF3BzbaFuuCakRKcjNTUVg16Ph6cnUVFR+Hh7qx2r2dPr9SQkrCAlJQVjdd3PGmetlujoGGbOjLf5nzUNqtIIhkqIibzqaVI0CZtgMBhISFCKD6OxyrKu1ToTExNDfHzT+4Hwv8VeRG2xl9vki71rkZW5n4v3Tmc0EQDEu+7hhcL/4O7urnIy6xUXFxMZM5OzvVaDgzJDzuuHsaS/OIaggHYqp2sa5Jdy06XX64kbN87ysyYCL4LxIBcD2ZQCys+apMRE+Xd0JVI0CXuk05WQmpqKXm/A09ODqKioJrsl9/zC59manKw05fx9j6lL24qVRcTGDmXBggXqBa0HL997FxszlScYD1HCztduY+LkSSqnso7RaOSWIWP5qe0r4OINgMP+F/luQhcGdu+jbrgmQn4pN23PP7+Q5K3J+OLKEvrTGz/Lx/ZRyCzSKKKSobGxNv+zpsFI0SSEenS6EmLuvlvZkrsl6fI9pgr3wbdj0Wqd2bbtiyZb/Fnjm5RPuHH8u9yGclVmbOBBVh3/DgeHpn/b5JiJT7OmOA68lStl5H3KmoG5jL7vAXWDNSHyS7npKtHpuDvmbozVRpK45Tf/bi7ZRyFj+RZnrZYvtm2T7dTLsbJoavo/0YSwQc2tKedtd97H2lYFluP787356quvVExknTfeeoc1xwbXFUzFB5nit0MKpl8p0eksXfl/XzAB9MaPJfQHlK78cuNx40pNTcVYbSQCr8sWTAC98CUcL6qMRpv/WaM2KZqEaADNrSmno6MjnuMe5BjK+7ibDny86A2VU13drl27mLKuAoJqWwlUFHLbucWsmDZT3WBNjPxSbtoMej0AwVx5W1SDxvLxS+eLP0eKJiEaQHNsyjn0kbG845RtOe6VWsLhw4dVTHRlubm5DJn5MebI6cqCyUiHg1PZ/I+5ODo6qpqtqZFfyk2bh6cnAHlc+S9eZsyWj186X/w5UjQJ0QCaY1NOTy8fzgzrTznKk1VPEE7Sy6+qnOp/6fV6Bj+6gPLedW0R3NKeZseCp/Byl18ovye/lJu2qKgonLVasihlH4WXPWc/RWRTirNWaxc/a9QkRZMQDcBemnJeq9inpvE+ytUmd7RoP9iNrgnd42IymRj++HTyQl8GR2XoribzdTaPu5GwDlfZSm3G5Jdy0+bj7U10tLLFPIs09lGIGeVnjRmz5UZ9UH7WyE3g10eKJiEaSPyMeEJDQ6GyCL4dC9+MgN1zlP/9dixUFhEaGkp8fLzaUetNp9AufNvP23I8riqMNYlJ6gX6nWfnLuRrx6ng1kZZyN/B8gHFDB4gv+ivRH4pN33x8TMIDQ2liErG8i0j+IY57GYE3zCWbymi0u5+1qhFWg4I0YBssSnn9fpu5zbCR79GDEEAPOW3nzfPfK/6vULr1m/gsfecIaT2ybjSHEZWLmbtvOfQaDSqZmvqft+nKby2T1Oe9GlqMn79s6bK+Nvmo/b6s6ZeSZ8mIZoOW2rKeb1MJhOv33Qz75/tAcAuTlPyyZMMGzZMtUxpaWncNDmF6l7zlYUqPX0OjeWHlYtw1jqrlsuWyC9l2yBjbv4kKZqEEGr513uvM/r5b4nAG4CxfY+RtOdLVbKcPn2abrHPoetXu01oNuH/4xNkJMzAz6e1KplsmfxSFnZJiiYhhFoulJfxaZ//I+FiXwDWkEWffSvp1atXo+aoqKigf8xYMjuvAm1LALQ/z2HP07fSI6xro2YRQjRh0hFcCKEWt5bulP7tVnRcBGAEnXl3aeO2HzCbzYyMm0lm4IuWgonstWx6qKMUTEKIP0WKJiFEg7hv7BTW1LYfcMUJn48yKCy8/CPrDWHxS8v5xPAouHdQFgp+YH54BsMHxTRaBiGEfZGiSQjRINoHBZMW1ZYaTACMqwkn8Y23G+Vrb9mSzLyU1hBws7JQlk/shTdYGDexUb6+EMI+SdEkhGgw/zdpCls4DkA7WnLqlS1UVVX9wWddn8zMTB58IRUiRisL1RVEZMWzacE8aS0ghLguUjQJIRpM34G38XFQheX4cV0g//73vxvs6xUXFzN41DKqei+2rHmlTWH7whm4ubZosK8rhGgepGgSQjQYjUZDyORRHKAYgAH48/WixAb5WkajkXsemcHZbivBQWmk6bD/RVLi7yUooF2DfE0hRPMiRZMQokHF3PcoiS2PWY4H/+LAjz/+WO9fZ/y02ez2mQsu3spC3qckRTszsHufev9aQojmSYomIUSDcnF1xfhYNIUo23QPEMLaF+u3/cAbb73DmmODwTtCWSg+yBS/HYy+74F6/TpCiOZNiiYhRIMbNnoSiZosALQ4EJScy6lTp+rltXft2sWUdRUQVNtKoKKQ284tZsW0mfXy+kIIcYkUTUKIBufXph0Zd4ZirG0/EGeOYNUrb1z36+bm5jJk5seYI6crCyYjHQ5OZfM/5qo+IFgIYX+kaBJCNIroCVP5F7kA+OKK7s2vqKio+IPPujK9Xs/gRxdQ3nu5Zc0t7Wl2LHgKL3fP684rhBC/J0WTEKJRRPYewNawulGXY8o7sWH9+j/1WjU1NQx/fDp5oS+DozMAmszX2TzuRsI6BNdLXiGE+D0pmpoBna6ErVuT2bBhA1u3JqPTlagdSTRT3SbH8SMFAPSgNd8vfg8rZ4b/xt/nvcDXjlPBrY2ykL+DhAHnGTwgqj7jCiHEbzipHUA0HL1eT8KKBFJSUqg2Gi3rWq0z0THRzIyfiYeHh4oJRXMz+J4HWP1cAgNLlWInNq8lu3bt4vbbb7f6Ndat38DyPd0hpJeyUJrDSKcNTHvkuQZILIQQdeRKk53S6/WMGxfH1uRkpWDyioDAGPAKx2isYmtyMnFxYzEYDGpHFc2Ik1aLy5i/kk8ZAEPpyMZFr1n9+WlpaYx+9SiE1LYSqNLT59gcVs+eLSNShBANToomO5WwIoGcnBxw9YVbkmDQBrhxEQzaqBy7+pKTk0NCQoLaUUUz89eRT7HKMRsABzR0/fosR48e/cPPO336NHeNf4fqXvOVBbMJ/58nkfLPWThrnRsysrBDJTodyVu3smHDBpK3bqVEp1M7krABGrOVNxSkZICHK7hqGzqSuF46XQkxd9+tXGG6JQn8ev/vSYX74NuxaLXObNv2Bd7ePo0fVDRbK6ePZdVnZlrgRClVvDjRiyVvrLzi+RUVFfSPGUtm51WgbQmA9uc57Hn6VnqEdW2k1MIe6PV6EhJWkJKSgrG67rYFZ62W6OgYZs6Ml9sWmqNKIxgqISbyqqfJlSY7lJqaWrcld7mCCcC3l2WrLjU1tVHzCTFk/DTWkwOAF85Ur0m94lax2Wzm0bh4MgNftBRMZK9l04MdpWAS10Sv1xM3bhzJW5MxVhuJwIsYAgnHiyqjkeStyYyNi5PbFsQVSdFkh/T62m94j6s8eq3RWD5uOV+IRhLapTs7erSwHI+r7Mx7a9697LmLX1rOp4aR4N5BWSj4gefCMxg+OKYxogo7kpCwgpycHHxxJYlb2MAgFnEjGxlEErfgi6vctiCuSoomO+TpWXtp2ZB35ZPMZsvHLecL0Yj6T57ANyijVMLx5uDSDZhMpt+cs2VLMvNSWkPAzcpCWT6x5a/zfNzExo4rbFyJTkdKSgoAS+hPb/x+8/He+LGE/gCkpKTIPU7isqRoskNRUVFotc5QmqXcu3Q5RfuhNBut1pmoKOltIxrfLYOGsM630HL8wOlWbNu2zXKcmZnJgy+kQsRoZaG6gohD8Wx6fr48KSeuWWpqqmVL7vcF0yW98LVs1cltC+JypGiyQ97ePkTHRCsHabOUwunS/f5ms3KcNguAmJgYuQlcqMLR0RGfcQ+Tix6AaIL4ZNGbABQXFzN41DKqei+2nO+VNoXt/5iBm2uLy76eEFdj0Cv/nQVz5SvrGjSWj186X4hfk6LJTsXPiCc0NBQqi+DbsfDNCNg9R/nfb8dCZRGhoaHEx8erHVU0Y0P/Noa3nY9Yjvv9oOfAgQPc88gMznZbCQ7K0F2H/S+SMv1eggLaqZRU2DoPT2UeYR5XvofTjNny8UvnC/FrUjTZKU9PTxITk4iNHVq7VZcN+V9atuRiY4eSmJgkj9YKVbl7enHu/oEYqALgCcIZ98gkdvvMBRdv5aS8T1l9l5aBPfuoF1TYvKioKJy1WrIoZR+Flz1nP0VkU4qzViu3LYjLkj5NzYBOV0Jqaip6vQFPTw+ioqJkS040Gcdzszl1x2imoPRHeTYikmW3TVE+WHyQqdq3eeXpv6uYUNiL559fSPLWZHxxZQn96YUvGjSYMbOfImaRRhGVDI2NZcGCBWrHFY3Jyj5NUjQJIVT34v338e+fAwA40dKHkEcWUXPxPLflTuLrhCU4OjqqnFDYg0t9mnJylB5h4XgRjAd5GMimFIDQ0FCSEhPlKnxzI80thRC2otOw4XzeUmk30KG8hL/m/UzQ/ilsXjRfCiZRbzw9PUlKTGRobCzOWi3ZlPIl+ZYtuaGxsVIwiauSK01CCFWVGfQ8/MREevg9w1dfKk/PfdvCzP6J7ZjyyGiV0wl7VaLTkZqaikGvx8PTk6ioKHy8vdWOJdRi5ZUmp0aKI4QQ/6OmpoZnnp5OwQ3L2d7Cn1+823KD7gy3VGh4b/PXIEWTaCA+3t7EDhmidgxhY6RoEkKo5rWXXyCt5VRwawPAq+3b8rbuDAC35jix93AGfbpc/W9+Qoj6I1fgrk6KJiGEKr74bAPrjnSHkF7KQukR0hzXUUJnfHDhb3Tm6XfX0OclmQMmREPT6/UkJKwgJSUFY7XRsu6s1RIdHcPMmfFyrxdyI7gQQgWZB9JYuOEohDygLFTp6V34Apv+vYYksgBwwRG/nScpKL58Tx0hRP249FRh8tZky6iZGAItI2WStyYzNi4Og0GGu0vRJIRoVIUFp5m84B1qes1XFswm/A5O5ctNCYSFhXE0JogalCfpxpkiSPxonYpphbB/CQkryMnJwRdXkriFDQxiETeykUEkcQu+uJKTk0NCglz1laJJCNFoKisrmDT9GQy9X7GsaffNZ8e78fj5KUNUH50zhU85BkAAbpzd+F8uVl1UI64Qdq9EpyMlJQWAJfT/n2HGvfFjCf0BSElJoUSna+yITYoUTUKIRmE2m5k/O57c4BdB21JZzF7Lptn96NGjh+W8qKgotoXVFUmjLnTio6+2NnZcIZqF1NRUy5bc7wumS3rha9mqS01NbeSETYsUTUKIRrHmreXsrBkJ7h2UhYIfmH/7KYYPH/ab8zQaDbfOeZK9FAHQDz92rfk3VraUE0JcA4NeD0AwV77JW4PG8vFL5zdXUjQJIRrcf7Yn89ZPrSHgZmWhLJ8hLu+xcP6sy57/t0ce4V2P45bj6BNufH/g58aIKkSz4uHpCUAeV77J24zZ8vFL5zdXUjQJIRrU0exMZr2VChG1jSqrK4g4/nc+fHcFGo3msp/j4uKC35R7KOACAMMJZt17axsrshDNRlRUFM5aLVmUso/LP6m6nyLLqJmoqKhGTti0SNEkhGgwupJiJs5ahrHPYsua577pbN+4BDc3t6t+7rgpE0l0UNoPOOFAcGoBJ8+ebtC8QjQ3Pt7eREfHADCLNPZRiBllK9yMmX0UMos0AGJiYpp9o0spmoQQDaLaaGTa9BkUd18JDsrQXYcDL/Llm6MJCgr6w88PCAjg7LAIqqgBYCwRrNr4fkNGFqJZio+fQWhoKEVUMpZvGcE3zGE3I/iGsXxLEZWEhoYSHx+vdlTVSdEkhGgQixfOIrPNXHDxVhbyPmX1hPYMHDjQ6tcYNWsaH5ILQCtcKft4NxcqKxogrRDNl6enJ0mJiQyNjcVZqyWbUr4k37IlNzQ2lqTEROkIDmjMVj6SkpIBHq7gqm3oSEIIW/fR2rdZ+kMwBEUrC8UHmdLxQ15dvuiaX2tMz0GsPhgKQAbn+X52b8bd/2h9xhVC1Gq2s+cqjWCohJirz7qUokmIeqTTlZCamopeb8DT04OoqCi8vX3UjtWo9vywiwmvHcAcOU1ZqCjk1vPP8M3m1Tg6Ol7z63300Ue0f3g9NxMAwNiAAyQmb7riTeRCCHHNrCyaZGCvEPVAr9eTsCKBlJQUqo11wy61WmeiY6KZGT+zWVzazj+Ry4ylH2Pu/5qyYDISlBXPlq9e/1MFE8CwYcOY2moZN59Xiqb7znrz9e7vGDygeT/FI4RofHJPkxDXSa/XM25cHFuTk5WCySsCAmPAKxyjsYqtycnExY21+2GXZQY9E+MXUNFnuWWtxd5n+Xrdc3h5ef3p19VqtQTPvJ8TlAFwLx346N0PrjuvEEJcKymahLhOCSsSyMnJAVdfuCUJBm2AGxfBoI3Ksauv3Q+7rKmp4Zmnp3O6y8vg6AyAJvN1trx0L2FhYdf9+mPHj2OVUzYADmjotkfPkRN51/26QghxLaRoEuI66HQllmGX9F8Cfr1/e4Jfb2UdZdilTlfSyAkbx6vLFpLWciq4tVEW8neQ8BAMHjy4Xl6/VatWlI/owwWqARhNBInrpP2AEKJxSdEkxHVITU2t25L7fcF0iW8vy1adPQ67/OKzDazP6aG8T4DSI4xst5VpUybV69cZ++xUPuAIAJ44Q/JBSsua9xwsIUTjkqJJiOug19fep+QRfOWTNBrLxy3n24nMA2ks3JALIQ8oC1Wl9C58gdVvLK33p9u6detG2kB3y/E4YxjvffZRvX4NIYS4GimahLgOnp61T8QZrnJ/jdls+bjlfDtQWHCayQtWUdNrnrJgNuF3cBpfbkrA2dm5Qb7mX+dOZDv5AITiRcbabdTU1DTI1xJCiN+TokmI6xAVFYVW6wylWVC47/InFe2H0my0Wme7GXZZWVnBpOnPYOi90rKm3TefHe/G4+fn12Bf95577uFfbYstxw+fb8Pnqd802NcTQohfk6JJiOvg7e1DdExt1+u0WUrhdKlfrNmsHKfNApRhl/bQ6NJsNjN/djy5wS+CtqWymL2WTbP70aNHjwb92g4ODkQ++whHKAVgMIFsXrOhQb+mEEJcIkWTENcpfkY8oaGhUFkE346Fb0bA7jnK/347FiqL7GrY5Zo3X2ZnzUhw76AsFPzA/NtPMXz4sEb5+qOeHE2iS47leEBmNek5hxvlawshmjcpmkSD0elK2Lo1mQ0bNrB1a7LdPm7v6elJYmISsbFDa7fqsiH/S8uWXGzsUBITk+yiI/h/tifz1m5fCLhZWSjLJ9b1fRbOn9VoGTw9PdGMvhk9VQA8Rhir10r7ASFEw5PZc6LeNeeRIvY8e+5odiYjZ3+Asa/Sd4rqC0RkxbH3q0Tc3NwaN8vRo2wNfYxpdAdgvuPPTPsyEV/vVo2aQwhhJ2Rgr1DDpZEiOTm12ydeEcrj9oZc5QoMEBoaajdXXpoLXUkxD4+ZSXGf1eCgzJDzTHuKjM3zCAoKUiXTuEHDePsbPxzQcJIyNoxvx9/HTlYlixDCxllZNMn2nKhXMlLE/lQbjUybPoPi7istBZPDgRf58s3RqhVMAA/PmcxWTgAQhDt5G77BWG38g88SQog/T4omUW9kpIh9WrxwFplt5oKLt7KQ9ymrJ7Rn4MCBqua644472NKpzHL8uD6QT75JUTGREMLeSdEk6o2MFLE/H619my3Fd4F3hLJQfJAp3fcw6onH1Q0GaDQaBsx+nHTOA3ATAXy15kOVUwkh7JkUTQ2ouTw9dklzHylib/b8sItlKRchqLYPVUUht1YmsGLpC+oG+5VHR45ktVtdN/bbc7SkZR5QMZEQwp45qR3AHjXXp8ea80gRe5N/IpcZSz/G3P81ZcFkJCgrni1fvY6jo6O64X7Fzc0NzwmDKV5+hta48hAhxL/3Pv2XyT1zQoj6J1ea6tmlp8e2JifXbVUFxli2pLYmJxMXNxaDwf6usjTXkSL2psygZ2L8Air6LLestdj7DF+vew4vLy8Vk11e3LRJJGmyAHDGkba78jlTdE7lVEIIeyRFUz1rzk+PNceRIvampqaGZ56ezukuL4OjMnRXk/k6W14aQlhYmMrpLi8oKIjj93aiGhMAceYIEjd9oHIqIYQ9kqKpHsnTY81vpIi9eXXZQtJaTgW3NspC/g4SHoLBgwerG+wPjJw9lY9Rtn39aUHhR99RebFS5VRCCHsjRVM9kqfHmtdIEXvzxWcbWJ/TQ/lvFKD0CCPbbWXalEmq5rLGX/7yF77qUm05fvJCJzZ9uUXFREIIeyQ3gteja3p6rDTbbp8e8/DwYMGCBUybNtVuR4rYm8wDaSzckAu95ikLVaX0LnyB1WtXo9Fo1A1nBY1Gw+1zxpD2+Cf0x5/e+PL6mk94IvZBm8gvhLANUjTVI3l67Le8vX0YMiRW7RjiDxQWnGbyglXU3JioLJhN+B2cxpcpCTg7O6sb7ho89PDDxE95lf6l/gDck+/Bt/t2c2ufASonE0LYC9meq0fy9JiwNZWVFUya/gyG3ista9p989nxbjx+fn7qBfsTnJ2dCZg6hDNcAOCvdGTDmrUqpxJC2BMpmuqRPD0mbInZbGb+7Hhyg18EbUtlMXstm2b3o0ePHuqG+5PiJo1nlaPSfsARB0J/LObY6ZMqpxJC2AspmuqZPD0mbMWaN19mZ81IcO+gLBT8wPzbTzF8+DB1g12HNm3aUHz/DVykBoAxRLBqg7QfEELUDyma6pk8PSZswX+2J/PWbl8IuFlZKMsn1vV9Fs6fpW6wejB61jQ2kgOADy5c/HQP5RUXVE4lhLAHGrP50v7R1aVkgIcruGobOpL90OlK5Okx0eQczc5k5OwPMPZVeoZRfYGIrDj2fpWIm5ubuuHqyZg+d7J6XwgAhyhh19+7M+FB9YcMCyGaqEojGCohJvKqp0nRJEQzoisp5uExMynusxoclBlynmlPkbF5HkFBQSqnqz8ff/wxfg+8z620BWBsm32sSv4QBwe5uC6EuAwriyb5CSJEM1FtNDJt+gyKu6+0FEwOB17kyzdH21XBBHDfffexwfes5Xh4QWu2//StiomEEPZAiiYhmonFC2eR2WYuuHgrC3mfsnpCewYOHKhqrobg5ORE6MwHOI7SQPYeOvDvNetUTiWEsHVSNAnRDHy09m22FN8F3hHKQvFBpnTfw6gn7Pc+nzFPxbFKe8Ry3HPfBbKOHVUxkRDC1knRJISd2/P9TpalXISg2h5iFYXcWpnAiqUvqBusgfn4+FD5WD/KMQIwinCSPnhf5VRCCFsmRZMQdiz/RC4zln2COXKasmAyEpgVz5b1r+Do6KhuuEYQ98w03icbAHe0OH6eic5QqnIqIYStkqJJCDtVZtAzMX4BFX2WW9Za7H2Gb9Y9h5eXl4rJGk+XLl3Ye7O35fip6jDWfPqheoGEEDZNiiYh7FBNTQ3PPD2d011eBkdl6K4m83W2vDSEsLAwldM1rvvnTiIFZZRKMJ4c/uBLampqVMtTotORvHUrGzZsIHnrVkp0OtWyCCGujZPaAYQQ9e/VZQtJazkV3NooC/k7SHgIBg8erG4wFURHR/NU+xeIOaW0VXikpC1b/rudYbfHNGoOvV5PQsIKUlJSMFYbLevOWi3R0THMnBkvkwKEaOLkSpMQdubzT9ezPqcH+PZSFkqPMLLdVqZNmaRqLrU4ODjQ6++PkoUOgNtpR/LqjY2aQa/XEzduHMlbkzFWG4nAixgCCceLKqOR5K3JjI2Lw2AwNGouIcS1kaJJCDuSeSCNhRvzIOQBZaGqlN6FL7D6jaVoNBp1w6noidGjSHStazdw82Ez+7MyG+3rJySsICcnB19cSeIWNjCIRdzIRgaRxC344kpOTg4JCQmNlkkIce2kaBLCThQWnGbygkRMveYpC2YTfgen8eWmBJydndUNpzJ3d3e0Y29Fx0UAHiWUd99vnPYDJTodKSkpACyhP73x+83He+PHEvoDkJKSIvc4CdGESdEkhB2orKxg4vRnMfRZaVnT7pvHjnfj8fPzu/InNiPj4qewprb9gCtOeH+dS2FJcYN/3dTUVMuW3O8Lpkt64WvZqktNTW3wTEKIP0eKJiFsnNlsZv7sePKCF4OTm7KYvZZNs/vTo0cPdcM1IcHBwWTd2ZYaTACMq4kg8aP1Df51DXq98vW58k3eGjSWj186XwjR9EjRJISNW/Pmy+ysGQnuHZSFgh+Yf/sphg8fpm6wJuiROVPYwnEA2tOS/E07qTJWNejX9PD0BCCPK9/kbcZs+fil84UQTY8UTULYsP9sT+at3b4QcLOyUJZPrOv7LJw/S91gTdRtt93G1pAKy/Hjhg78++ttDfo1o6KicNZqyaKUfRRe9pz9FJFNKc5aLVFRUQ2aRwjx50nRJISNOpqdyay3v4OI0cpC9QXCj/+dTWsSmvWTclej0Wi4ec4oDqDcyzSQNuxY3bAdwn28vYmOVnpCzSKNfRRixgwoV5j2Ucgs0gCIiYnBx9u7QfMIIf48jdlsNltzYkoGeLiCq7ahIwkh/oiupJiHx8ykuM9qcFBmyHmmPUXG5nkEBQWpnK5pq6ys5O9+UbxS1heADeQQ8u5kBnbv02Bf81KfppycHADC8SIYD/IwkI0yCy80NJSkxERpcCmEGiqNYKiEmMirniZXmoSwMdVGI9Omz6C4+0pLweRwYDFfvjlaCiYruLq64jMpmkKUbboHCWHtuw3bfsDT05OkxESGxsbirNWSTSlfkm/ZkhsaGysFkxA2QK40CWFjXpg3ky1V48A7QlnI+5R3HzUw6onH1Q1mQ06fPs17gcOYY+4FwIuaAzz++Su09w9o8K9dotORmpqKQa/Hw9OTqKgo2ZITQm1WXmmS2XNC2JCP1r7NluK7IKi2YCo+yJTuexj1xCJ1g9mYdu3akT80FONmE1ociDNH8NrGtSyc9myDf20fb29ihwxp8K8jhKh/sj0nhI3Y8/1OlqVchKBoZaGikNsurmDF0hfUDWajnpg9lX+RC4Avruj+/QMVlZUqpxJCNGVSNAlhA/JP5DJj2SeYI6cpCyYjgVnxbF63EkdHR3XD2agBAwbwdbe6uxPGVISwYdtn6gUSwoaV6HQkb93Khg0bSN661W7HAcn2nLCaTldCamoqer0BT08PoqKi8Pb2UTvWn2JL76XMoGfizAVU9FltWWux9xm+2fQcXl5eKiazfYPnxvHjiA8ZSBt60JpX3v2UJ//6sLRsEMJKer2ehIQVpKSkYKw2WtadtVqio2OYOTPerh5wkBvBxR/S6/UkrEggJSWFamPdN4VW60x0TDQz42fazDeFrb2XmpoaJk+MI81/CbTwB0CT+RpfPd+VwYMHq5zO9hmNRqb538SbOqXdwGccw+vtUdze7yaVkwnR9P2+lUZEbSuNXFtspSEtB0R90Ov1jBsXx9bkZKXI8IqAwBjwCsdorGJrcjJxcWMxGK48IqKpsMX38uqyhaS1nGopmMjfQcJDGimY6olWqyVoxn2cohyAoXRk05oPVE4lhG1ISFhBTk4OvriSxC1sYBCLuJGNDCKJW/DFlZycHBISEtSOWm+kaBJXlbAiQflbhKsv3JIEgzbAjYtg0Ebl2NXXZr4pbO29fP7petbn9ADfXspC6RFGttvKtCmTVM1lb8ZOeIpVjlkAOKChy24dufknVE4lRNNWotORkpICwBL60xu/33y8N34soT8AKSkpdnOPkxRN4op0uhLLNwX9l4Bf79+e4NdbWUf5ptDpSho5ofVs7b1kHkhj4cY8CHlAWagqpXfhC6x+Y6ncb1PP/Pz80D3Ug0qqAXiSCBLXN2yzSyFsXWpqKsZqIxF4/U/BdEkvfAnHiyqjkdTU1EZO2DCkaBJXlJqaWreN9fsi4xLfXpbtrab8TWFL76Ww4DSTFyRi6jVPWTCb8Ds4jS83JeDs7KxaLns2ZtY01qPcl+GFM8bN+zCUl6mcyr7Z0tNWtpS1sRj0egCCufK9Sho0lo9fOt/WydNz4or0+tp7ezyCr3ySRqN8vDS77vwmyFbeS2VlBROnP4uhzyrLmnbfPHa8G4+f3+X/NieuX48ePXilnytj9ijH46pCeT/530z+2yhVc9kjW3raypayNjYPT08A8rjyz0ozZsvHL51v6+RKk7giT8/aHwaGvCufZDZbPm45vwmyhfdiNpuZPzuevODF4OSmLGa/z6bZ/enRo0ej52luYudOYCenAQjHmwPvb8VkMqmcyr5cetoqeWuyZWsnhkDLFk7y1mTGxsU1iYcxbCmrGqKionDWasmilH0UXvac/RRZ5itGRUU1csKGIUWTuKKoqCi0WmcozYLCfZc/qWg/lGaj1To36W8KW3gva958mZ01I8G9g7JQ8APzbz/N8OHDGj1LcxQbG8sm/3OW4wcK/Uj5/j8qJrI/tvS0lS1lVYOPtzfR0TEAzCKNfRRiRulgZMbMPgqZRRoAMTExdjNfUYomcUXe3j5Ex9SO7EibpRQbl9p6mc3KcdosQPmmaKrNIaHpv5f/bE/mrd2+EHCzslCWT6zr+yycP6tRczRnjo6OdHnmIXJR7r2IJohP3l2ncir7YUtPW9lSVjXFx88gNDSUIioZy7eM4BvmsJsRfMNYvqWISkJDQ4mPj1c7ar2RoklcVfyMeEJDQ6GyCL4dC9+MgN1zlP/9dixUFtnMN0VTfS9HszOZ9fZ3EDFaWai+QPjxv7NpTYI8KdfIRo8dwyrnI5bjvgcucigvR8VE9sOWnraypaxq8vT0JCkxkaGxsThrtWRTypfkW7bkhsbG2kZjy2sgN4KLq/L09CQxMYmEBKWLtrE0G0qzAaWLdkxMDPHxtnEzZFN8L7qSYibOWobxVyNSPPfNYMfmJbi5uTVaDqHw9vam5vEBlCVV4I6WxwnjubXvsnzBIrWj2bxredoqm1JVn7aypaxq8/DwYMGCBUydNo3U1FQMej0enp5ERUXZzZbcr0nRJP7QpW+KadOm2sy8titpSu+l2mhk2vQZFHd/FRyUobsOBxbz5ZujCQoKatQsos7Yp6fyXtIYJtONlmhx3XaQkhml+HjKnL/rYUtPW9lS1qbCx9ub2CFD1I7R4KRoElbz9vZhyJBYtWPUi6bwXhYvnEVmm7ng4q0s5H3K6gmBDBw4UNVczV1ERAQv39oa/qscj6sOZ/UnG3l61Hh1g9k4y9NWRuVpq8ttezWVp61sKatoXHJPkxAq+Gjt22wpvgu8I5SF4oNM6b6HUU88rm4wAcCDcyfxOcoolY54cOSDr6iurlY5lW2zpaetbCmraFwas/nSI0RXl5IBHq7gqm3oSELYtz3f72TC6wcxR05TFioKua3kWb7+LAlHR0d1wwlA6ZkV1/Fmkk52B+C/nOHckrt5YPA9KiezbZd6H+XkKDfXh+NFMB7kYSCbUgBCQ0ObxM3DtpRV1INKIxgqISbyqqfJlSYhGlH+iVxmLPukrmAyGQnMimfzupVSMDUhGo2GfrMf4xeUGYS30pYv1mxSOZXts6WnrWwpq2g8cqVJiEZSZtAz4slJnO6xGhyVGXIt9kznwKZJhIWFqZxO/F55eTnz/W4joaIvAO+RRY91z9Cny9X/JiqsU6LT2czTVraUVfxJVl5pkqJJiEZQU1PD5IlxpPkvgRb+AGgyX+Or57syePBgldOJK5k7/RmefqUQH1y4SA1PD9bx2pLlascSQtQ32Z4Toul4ddlC0lpOtRRM5G8n4SGNFExN3LgZk0kiCwAXHPH95gQFxZefsyWEsH9SNAnRwD7/dD3rc3qAby9lofQII9t9zrQpk1TNJf5Yx44dORoTRA3K4N5xpghWfSSjVYRorqRoEqIBZezfzcKNeRDygLJQVUqfon+w+o2lMiLFRjw6ZwqfcgyAtrhxdtN/uVh1Ud1QQghVSNEkRAMpLDjNlOeTMPWapyyYTfgdnEbKxuU4OzurG05YLSoqim1hdUXSqPKOfPTVVhUTCSHUIkWTEA2gsrKCidOfxdBnpWVNu28eO96Nx8/v8gNARdOk0Wi4dc6T7KUIgP74s/Pdf2PlMzRCCDsiRZMQ9cxsNjN/djx5wYvBqXbobvb7bJrdnx49eqgbTvwpf3vkEd71OG45jj7uxvcHflYxkRBCDVI0CVHP1rz5MjtrRoJ7B2Wh4Afm336a4cOHqRtM/GkuLi74TbmHAi4AcD/BrHtvrcqphBCNTYomIerRf7Yn89ZuXwi4WVkoyyfW9X0Wzp+lbjBx3cZNmUiig9J+wAkHOn1XwMmzp1VOJYRoTFI0CVFPjmZnMuvt7yBitLJQfYGIE7PYtCZBnpSzAwEBAZwdFkEVNQCMNUewauP7KqcSQjQmKZqEqAe6kmImzlqGsfciy5rnvhns2LgENzc3FZOJ+jRq1jQ+JBeA1rhi+Hg3FyorVE4lhGgsUjQJcZ2qjUamTZ9BcfeV4KAM3XU4sJgv3xxNYGCguuFEverXrx+7etRdNRxb2Zl1n3+iYiIhRGOSokmI67R44Swy28wFF29lIe9TVk8IZODAgarmEg0jeu5TfMdZACJpxe53t0j7ASGaCSmahLgOH619my3Fd4F3hLJQfJAp3fcw6onH1Q0mGsywYcNY16ruBvD7znrz9e7vVEwkhGgsUjQJ8Sft+X4ny1IuQlC0slBRyG0XV7Bi6QvqBhMNSqvVEhw/nJOUAXAvHfjo3Q9UTiWEaAxSNAnxJ+SfyGXGsk8wR05TFkxGgrLj2bxuJY6OjuqGEw1uzPhxrHLKBsABDZF7DOScPKZuKCFEg5OiSYhrVGbQM3HmAir6LLestdj7DN+sW4CXl5eKyURjad26NWWP9OYC1QCMIpxV695TN5QQosFJ0STENaipqeGZZ2ZwustycFSG7moyX2PLS0MIDQ1VOZ1oTGOenco6jgDgiTOaLenoywwqpxJCNCQpmoS4Bq8uW0ia2xRo4a8s5G8n4SENgwcPVjeYaHSRkZHsHuBuOY4zhvLe5o9UTCSEaGhSNAlhpc8/Xc/6nB7g20tZKD3CyHafM23KJFVzCfXcN3cCO8gHIBQvMtZuo6amRuVUQoiGIkWTEFbI2L+bhRvzIOQBZaGqlL5F/2D1G0tlREozdu+99/JRQLHl+KFif774bqeKiYQQDUmKJiH+QGHBaaY8n4Sp1zxlwWzC7+A0tm1cjrOzs7rhhKocHBzo9uzfyKEUgMEEsnnNBpVTCSEaihRNQlxFZWUFE6c/i6HPSsua87557Hg3Hj8/P/WCiSZj9JgnSXTJsRzfmGEkIydLxURCiIYiRZMQV2A2m5k/O5684MXgVDt0N/t9Ns7uT48ePdQNJ5oMT09PzKNuQk8VAI8Rxuq176kbSgjRIKRoEuIK1rz5MjtrRoJ7B2Wh4Aeeu+M0w4cPUzeYaHLGPT2V91CaXbbACfcvsynWlaicSghR36RoEuIy/rM9mbd2+0LAzcpCWT6xru/z/LxZ6gYTTVJoaCgZt/thQhncO64mgtUfy71NQtgbKZqE+J2crAxmvf0dRIxWFqov0OXkLDatSZAn5cQVPTx3Cls5AUAQ7uSt/xpjtVHlVEKI+iRFkxC/oispZtKsZRh7L7Ksee6bwfYNS3Bzc1MxmWjq7rjjDrZ0KrMcj9QH8sk3KSomEkLUN6uLpoNpuzh7rhizuSHjCKGeaqORadNnUNzjFXBQhu46HFjMl2+OJjAwUOV0oqnTaDQMmP046ZwH4GYC+HLNhyqnEkLUJ43ZbF0ZpEl5DDLO4XbsIh3LfejhEkKX0O6EdulOcNgNuLq2aOisQjSoF+bNZEvVU+AdrizkfcK7j5Yx6onH1Q0mbMaFCxeY43crKy/0BeADjtDl/en079ZT5WRCiKuqNIKhEmIir3qak9UvGBMKMaFcAA4Bh2pMcORnSP8CzYZCWp9zILSqDd29IgiL6E5oRHfadwjB0dHx+t6IEI3go7Vvs+V8NATWFkzFB5na42dGPbHo6p8oxK+4ubnhOWEwxcvP0BpXHiaE+Pfep/+yBLWjCSHqgfVXmlho3SuWV0FmIaQX4Hi4hPY6N7qYA+nWthuhXZRiqrVfm+vJLES92vP9Tia8fhBz5DRloaKQ20qe5evPkqToF9fs5MmTbOj4IH83K1eX/qnZx5htb9DW11/lZEKIK7LySpPVRdOD055kX/UpjnlUUNO1NXRvAzf4gauVF6sKyiD9HKQX4JZXQcdybyK1wUSEdCc0PJKQ8G64tXT/49cRoh7lHz/KI9NXUtH/NWXBZKRD+pMc/PJ1vLy81A0nbNbE2L/x6lYPnHCggAu8PdqHBZNmqh1LCHEl9V00XVJdXU1OTg7p6ekcyEznx6JsMjTnKPAHIv2VYirEBxyseDTbZIaj55ViKvMcrU5D5yo/Ij3CCQ9T7pcK6hSGk5P1u4hCWKvMoGfE6Emc7rkaHJUZcm57pnPgw8mEhoaqnE7Ysu+//56TNz/Hw3QGYIpbGsu2b8TVxVXlZEKIy2qooulKysvLyczMJD09nb1Z6ewuO8Zh5xLKOrlB99piyr+ldS9WWQ2/1G7xHSom4HwLIkzt6ObflbCIHoR26Y5fm3bSM0f8aTU1NUyeNI40vxehhbJtosl8ja+e78rgwYNVTidsndlsZuwNt7P6cAQAeyni4HMDGTX0IZWTCSEuq7GLpispKCggPT2d9PR0dh/PZK/xFHktyzF2aaUUU938wU1r3YsVX7Bs8bnmlNGhzIsbnDrRtWMkoV260zk8EncPz4Z8O8JOrFiygPXnhoFvL2UhfzsrorOYPnWyqrmE/Vj3wQdEPP4J/VGK8icDD7L6043ylz0hmqKmUjRdTk1NDbm5ucoWX0Y6P53LIp1znGldgznST7kqFdYKHK1sI5VXYimmvE+ZCLnoS3e3MMLCuhMaEUnHkAi0zs4N+6aEzfj80/Us+NwFQh5QFkqP8JjnG7z/zgr5hSbqTVVVFfH+N/N6aR8A/k0u/qviuLXPAJWTCSH+R1Mumq6koqKCQ4cOKVt8h9LZbcjlkNN5SoNc6rb42nlY92JVNXC4CNILcPilCP8iZ8Kr2xLZugthXXoQGtGdgPYd5JdkM5OxfzdPLv4KU695ykJVKf3yp/Dd50k4S2Et6tk/n1vImH/k0BY3ajAx6S9nePu1N9SOJYT4PVssmq6kuLjYssWXlpvJnosnOepmoCrcWymmIv3Bw8W6F9NVQoZyVcr5iJ4gvQddNR24oUMkoRHKzeeeXj4N+n6EOs6dPcXD4xdiuHGVsmA24b9vDBlfLMXPz0/dcMIuFRQU8Hb7WBbU9AZgGQd5cMsyOrULUjmZEOI37KlouhyTycTx48eVLb70g/x0NouD5rPk+xgx3+CrXJWKaA1aK/vsnCy1bPF5njQSXNGabi06E9FZ6S0VHNoVZxcrCzPR5FRWVvDY6Djyuq4CJ2WGnPPeOaSt/hs9evRQOZ2wZ1MfHsWyj5xwwZESLrLsby4sfnqO2rGEEL9m70XTlVy8eJHDhw+Tnp7Ovl/S2V16lF8ciznfzqlui6+Dlf13qk2QVQTp59BkFuJ3zonw6gC6tYogLLwHoRGRtAsKxsFB5h43ZWazmWfjJ7KzxWxw76AsZr/Px1M8GT58mLrhhN3bt28fB/rMYBTKk3TxLmn8Y8d6WraQAdBCNBnNtWi6Ep1OR0ZGBunp6ezJySCt4jhHXPVUhnrWFVPeVvZQMVy0dD3XZulor2tJF00Q3drVdT33aS3bPU3F6jeW8VbWzRBwk7JQ8APP9d3FwvmzVc0lmo8xfe5k9b4QAH6hhP/8vTsTHpSZhkI0GVI0/TGz2Ux+fj7p6ekcTD/IT6cOs7/mNCe8LmK6wVcpprr6gbOVW3xnDJYtvpbHKul0wYduziF0CVHulQoJuwFX+dtlo/rP9mRmriuCiNHKQtlJhpr+yWcb3paHAESj+fjjj/F74H1upS0AY9rsIzH5Q7lKLURTIUXTn2c0GsnOziY9PZ39men8dP4ImZpCCgMc6q5KhVh5s3iNCXJqu55nnMO3wIHOVf5EekYQXjvYOLBjZ5lx1gBysjJ4bM46jH2XKAvVF+hyZBw/p6zCzU2KV9F4qqurmdz2Jt4uUm4I/5wTOL32CNF/uU3lZEIIQIqmhmAwGMjIyCAjI4Ofs9PZXX6cbBcd5cEt64opXyt/GV8wQuY5SD+HY1YJ7UpaEGFqT7eAuq7nrf0C5GrIn6QrKebhJ+Mp7rsGHJSC1GvPU2Rsnk9gYKDK6URz9PKSpTw4ez8dUdqmxPXOIzExUeVUQghAiqbGYjabOXv2rGWLb/eJQ5bBxtWXup7f4ActrOx6Xlhu2eJrkVtOxzJvbtB2omsn5apU54hIGWz8B6qNRsaMHUNmp1fBxRsAhwOL+W7lHQwcOFDdcKLZKikp4eU2d7HIqDS7fJ1M7vz3C0R06qxyMiGEFE0qq6mpqRtsnFE32Pisn7l2sLE/dG5l3WBjqBtsnF6AzxkznS/6E+keZhls3CE4XAYb13ph3ky2VD0F3uHKQt4nvPtoGaOekBtvhbpmPjmeF96toiVayjCy8L4als1/Qe1YQggpmpqm8vJyfvnll7rBxoY8DmtLMHRsUbfFF2DllaTKajhUCOnncDhURNtiV8JN7ejmV7fF5x/Qvllt8X209m2W/hgCgXcpC8UHmNrpI155eZG6wYQADh06xK4bxjGBGwCY5fQzs7avwdvDyjYoQoiGIUWTbTl37hzp6elkZGSwOy+TvVX5HG1ZhjHCp67reUsrx3ycr7B0PXfJMSiDjTUd6Noh0tISwd3T/n5I7/l+JxNeP4g5cpqyUFHI/+meZcenSXKjvWgyxt48hKTv2wOQh57PpnZmxuNxKqcSopmTosn2mUwm8vLy6rqen8vioLmA062qMV/a4gtvbf1g4+O6uq7n+dWEVPoS2SKUiDClkOrUuYvNDjbOP36UR6avpKL/a8qCyUjH9Cc58OXreHnZX4EobNcXX3yB472vE40ySmWcz8+8lfKRFPZCqEmKJvtVWVlpGWy871A6P+mPcsjpPLpA59r7pdpAoKd1L1ZV85uu58pg4wBlsHGEMti4bWDHJr3FV2bQM2L0JE73XA2OStHntmc6Bz6cTGhoqMrphPgtk8nEU0E3k3haGd+zk9OUvhzLX/8vWuVkQjRjUjQ1P+fPn68bbHw0g58vniSnhYGLYV5190t5Wjk/r/TSYONzOGeXEqj3oKsmiBuC6gYbe3m3atg3ZIWamhomTxpHmt+L0MIfAE3ma2xfeAODBg1SOZ0Ql/f6q69x57RUIvAGYEzXbFZ/8J6qmYRo1qRoEqC0RDhx4kRd1/Mzh9lfc5Z874uYuvkpxVQXX+sHG5/SW7b4PE5UEVzRim7OIcpg4y7dCQ69ARdXK8fR1IMVSxaw/tww8O2lLORvZ0V0FtOnTm60DEJcK4PBwEL/23m5si8AqzlM/42z6RHWVeVkjatEpyM1NRWDXo+HpydRUVH4eHurHUs0R1I0iaupqqoiKytL6Xr+Szo/luTwi2MRxW0dlStS3f2ho7d1L1ZtgiPFyhZfxjl8zzkSagygu3e4Mti4S3fadwip95ERn3+6ngWfu0DIA8pC6REe83yD999Z0aS3E4UAmD15BrPe0OGFM5VU8/focl5Z9JLasRqFXq8nIWEFKSkpGKuNlnVnrZbo6BhmzozHw8NDxYSi2ZGiSfwZpaWldYONj1wabFxKRWePuvulWrWw7sXKqixdz50Ol9C+tCVdzIG/GWzcytf/T+XM2L+bJxd/hanXPGWhqpR++VP47vMknG30ZnbRvOTm5rK580hm0B2ABY57mZzyDn4+rVVO1rD0ej1x48aRk5MDQAReBONBLgayKQUgNDSUpMREKZxE45GiSdQXs9nMqVOn6rqe5x9iX/VpTnhVUtPVt67ruYuVzTXPlkF6AaSfo+XxCjqW+9BNG6wMNo5QBhu3cGt5xU8/d/YUD41fSNmNq2oDmvDfN4aML5bi5+dXD+9YiMbx1J3389aO1jig4RTlrB0XwOxxU9SO1aCef34hyVuT8cWVJfSnN3Xfs/soZBZpFFHJ0NhYFixYoGJS0axI0SQaWnV1NUeOHFFaImSm82NxNhmaQs75U7fF19nKm8VN5rqu5xnnaHUGQi760809nLDw7nSO6E5gx1Cqq42MfjKOY91WgZMy58957xzSVv+NHj16NNybFaIB7Ny5k9I7lvBXOgEw0WMPr2z/EK2TlWOXbEyJTsfdMXdjrDaSxC2/KZgu2UchY/kWZ62WL7Ztk3ucROOQokmopaysjMzMTNLT0/k5K53d5cfIdtFR1smtrpjyu/KVpN+oMMIvl7qeF6PN03DR7x2ojgA0kP0+/57swf33D2/Q9yREQzCbzcSF3kpSrtIh/EcKyPvnHTwSc5/KyRpG8tatPP/880TgxQYu/3SrGTMj+IZsSnn++eeJHTKkkVOKZsnKokmGlYl65+7uzoABAxgwYABja9fMZjMFBQXKFt8HB9l9/BD7jPnkuV+oG2zczR/cfvc37BZa6NsO+rbDBFwE4EMoawF5rrBrO49/W8qir9+jv1sn+oZH0r17dyIjI+V+CNHkaTQabpozigNjt9GT1gykDYlrPrLbosmg1wMQzJW/NzVoCMaDbEot5wvRVEjRJBqFRqMhICCAgIAA7rzzTst6TU0NR48eVbb4vkjnp8LDpHOOM76musHGoa3+t+u5ewV0r4Du/bgA7Kv9h9xfIH0nvHIO3wIzkSZfBrQKo1e37nTv3p3w8HC0Wvvc+hC2acSjj/L36W/xSplyA/igXBd+TN/LwO59VE5W/zw8laa7eRiueI4Zs+Xjl84XoqmQ7TnRJF24cMHS9Xx76i42lPlBzKPQvgDanQHfLGhjZT+oi9VwWOl67vBLEUE6F3o5tmVA+y706N6D7t27ExQUJG0KhGqenzWXSS+dxI8WGDEx7dZC3kx4Re1Y9a5Ep+Oeu++myij3NIkmRu5pEvagqKiIyLtnUtBrDTgoDThdfhjNYw+04kRJAVkXz3GqZQXV4T7K/VKR/uBuZcuBkgpL13PXHD1hlZ70c+1Av1Bli6979+54yw9s0QhOnz7Ne4HDmGPuBcBizX6e+PxV2vsHqBusAfz+6ble+KJBgxkz+ymSp+eEOqRoErbOaDQSde8Ydrd7FVy8AdAcWEziykh6DexnOc9kMnH62Ely0g9zJP0QGQW5HDEVU9jKjPlS1/MIX3CysrnmiVJLS4RWp4x0rWnNAO9Qet+gFFJdunTBxcXKcTRCWGniXx/llc1uaHGgkApef8yDhdOeVTtWvft9n6bw2j5NedKnSahJiiZh68ZMmMma80+Bd7iykPcJcx49zvAnHrbq86suXiTv0BFy0g+TfSiLjNKT5DmWom/vXPcUX5CXdWGMNZBdbBlsHFiipYcmgAEBEfSs3eLr2LFjvXc9F83HTz/9xNGBcxiBMmR6aos0Xtq+kRaNOJaosRgMBhISEkhJSaHK+NuO4DExMcTHS0dw0cikaBK27PU332bK5yEQeJeyUHyA4Z2SmPPy7Ot+bX2JjqMZWeSkH+KXo9n8UnGGky0uUBXqVVdMeVn5i8pw8VeDjXV0vuBOX+cg+od0s2zx+fr6Xndm0TyMibyD1ZlhABygmD1z+zNm2N9UTtVwZPacaDKkaBK2aufOnQyadxBz5DRloaKQnroprPp0GY6OVg4WvkZms5mCk6fJST/EkfTDZJw+SnZNIQXeNZgudT3v6gfOVn790wbLFp/XiUq6VLfiRo8Q+nRVCqkbbriBFi2sHEcjmo2NGzcSPOJDBtIGgCfb7Wf15g/lIQUhGpoUTcIWHT16lJ4PraS832vKgsmIX/rj/OvLBbh7Nf7jx8aqKo5n5yr3S2UeIr3kBEcddJQGONVdlQr2se7Fakxw5DykF6DJLCSgyIHutGGgfwQ9I5ViKiQkpMEKQ9H0GY1GpvnfxJs6pd3Ap+Th/fZobu93k8rJhLBzUjQJW6PX6+kZPYlj3VaDo/IEnMueqWz88CE6hIaonO63yvQGjmYcJif9MIdzssksP80JlzIqQzzqiqnWbta92AWjZbCx9vB5gstb0kfbnv4dbrBs8bVp00auNjQTL77wTx5fcJj2tMSEmfE35rPqzbfUjiWEfZOiSdiSmpoa7ro/jm88l0ALf2Ux8zVeW+jHXwbdqm44K5nNZorOFNQ+xXeYzJNHyKou5IxHFTVdWyvF1A1+4GplT9lz5ZYtPvdj5URU+XBjy070iVAKqW7duuHu7t6wb0o0usLCQl5vew8La5SrTQkc5K+fLSUksIPKyYSwY1I0CVsyc9YCEo4MA99eykL+dqZG/8DjU8de9fNsQXV1Nfk5x8hJP0R25mEyCo+RoznPeX/Huq7nnVuBgxVXkkxmyC2xFFP+5yDS7MdA33B61nY9DwsLw8lJmv3bsmkjxvDSRnDFCR0XWfKgE0v+Pl/tWELYLymahK34YN16Hl/rCsH3KwulR7jL8yUWvbPQrrekKsovcDQzi5z0w2RlHSaj7BTHtAYqOrWs2+JrY+WVpMrq2sHGBTgePk9HvSu9ndpxY2BXS9fzdu3a2fWfpz05ePAgaT2nMIYuAMx0TuP57R/g0VKuLArRIKRoErZg9+7d3DTlK2p6zVMWqkoJy49j7edL0Tpb2dnbzhQXFJKTfoic9MP8cjyHQ8YCTre8SHVEbdfzbn7Q0so/m+ILlpYIbkcNhF304ka3TvQJ7WYZbOzlZWWvKtGoxvSPZvWeTgBkoWP70zcw+W+jVM0khN2Sokk0dadOnSJy6EJ0/VYpC2YTXvtG8e8vnsHHr7W64ZqYmpoaTuedsNwvlV6YS475PEWtwRzppxRTYZcZbHwlx3SWLb7WZ2roZvJlgHeoZbBxREQEzs20aG0qPvvsM7yGreZ22gEw1ncvq774SBqoCtEQpGgSTVlFRQX9osfyS1giOClPmTntncPa1bcT3qObyulsR2VFBccO5ZCTfojDhw6Tqc8nz0lPWZBr3RZfeytbNVTV1A42LlAGG5c409OxLQPa1Q027tChg2zxNZKamhomtruJd871AiCFk5hWPsQ9UberG0wIeyRFk2iqzGYz9z82kU/Ns8G99omg7PdZMtXI4GH3qBvOTuiKz5OTrrRE+CU3m0MXz5LfogJjuHfdYGNPK+fnlVbWDTY+UkrnCk/6uwbRr3PdYGMfHyt7VYlrsuLl5dz3zB5CUArfsT2PkrR6tcqphLBDUjSJpuqfLy5j/o83Q0Btw76CHxjVdzOT509VN5idM5lMnD1xqq7r+Zlcsk1FnPMxYe7mqxRTEa1Ba2VzzXy9ZYvPO7+KrtWtGODZ2TLYuGvXrrja4dy0xqTT6VjSZjBLqvoC8CaZ3P6vhXQNDlU5mRB2Room0RRt2ZLMfQlFEDFaWSg7yU2mObyyYYls+6ik6uJFjmcdVZ7i++UwGboT5DqWom/nXNcSoaO3dS9WbaodbKx0PW9X7EQPTRsGtKkbbBwcHCz35VyDZ+ImsSCpAne0lGPkudgqli9YpHYsIeyLFE2iqcnIyKDvqHVU9V2iLFRfICh7FBu/fBFXN5nD1tQYdKWWwcaHjmSRWXmWky7lXAz1rLtfysfKf29lVbVbfAU4Z+sIKW+pDDYOrhts7Ofn17BvyEZlZWWxvcsYJqPc6zfH6Wee+WoNPp7y1KMQ9UaKJtGUFBUVEXn3TAp6rQEHZfun5Z44Ptr8FG0C26mcTljLbDZTkH+6ruv5qaNkVZ+jwKsa0w21W3xdfcHFyuaaZ8ssW3yeJyroYmzFje7B9OlSN9jYzc3KcTR2LO7WoSR+2xaA4xj41+SOPD1qvMqphLAjUjSJpsJoNBJ17xh2t3sVXLwBcDiwmKSVkfQY2E/dcKJeVBuNnDiSZ+l6nn7+OLmaEkraOClXpLq3gRArbxY3mSFHGWxMxjkCCjVEmv0Z6Fc32Dg0NLRZDTb+8ssvqYlZyT0oD06M997D6ykfSed3IeqLFE2iqRgzYSZrzj8F3uHKQt4nzH/0BPc98ZC6wUSDKzeUkVvb9fxQdhaZ5ac44VJGRbBH3f1Sfi2te7ELRkvXc6fD5+lkcKsdbFzX9TwgIMAu740zm83EdbiZpPzuAPyXMxS+dA/3D7pb5WRC2AkpmkRT8PqbbzPl8xAIvEtZKD7AA51WM+vlWeoGE6oxm80Unz1Xu8V3iMwTORw2nuOMx0VqurSu63reQmvdCxaWQ7pyv1TLYxcIv+jNjW4d6Vs72DgyMtIuBhu/9eab/N+kXXRFuWI3JvwwqzesVTmVEHZCiiahtp07dzJo3kHMkdOUhYpCeumm8s6nS5vV1oqwTk1NDSdz8pRiKkMZbHxEc57zfpraq1JtINTKwcbwm8HGfgVmZbBxq7DfDDbWaq0szJqA8vJynvO7jeUVSvuB98ii57pn6N3l6j/khRBWkKJJqOno0aP0fOgVyvu9qiyYjPinP8ZHXz6Pu5eVHaqFQBlsnHfoCDnphzl8+DAZZfkc1xoo7+BWd79UgJVXki5WwyGl67njoWKCdC7KYOP2dV3PAwMDm+wW35xpT/PMq0X44MJFanhmcCmvLnlZ7VhC2D4pmoRa9Ho9PaMncazbanBU5pe57JnKpg8fJig0WOV0wl6UFBZbBhtn5h3hUNVZTrlV1g02jvQHdyvn55VUWLb4Whw1EFbpST/XjvQLi7Rs8Xl7ezfo+7HG8ePH+Venv/E0PQBY6LCX8dveok1radcgxHWRokmooaamhrvuj+MbzyXQwl9ZzHyNNxb6M2DQLeqGE3bPZDL9arDxIdILcjliPk9RK3PdYOPw1uBkZXPNE6WWLb5Wp6u5oaY1A71D6VXb9bxLly6NPth4/N0P8kaKN444cIYLrB7jy7wJ0xs1gxB2R4omoYaZsxaQcGQY+PZSFvK3MyNmN49OGa1qLtG8XaysJK92sHH2ocNk6PPJcyrF0N61bosv0MptY2MNZCldzx0yiwgs0dLDoS0D20bQvbYlQseOHRus6/l///tfCm/7J/ejXLWd3DKNhB0f4qxt3OJNCLsiRZNobB+sW8/ja10h+H5lofQI0Z5L+ec7zzfZe0RE81Z6vqS26/lhfjmaxS+VZznZ4gLGMO+6lgheVs7P01/8VdfzUkIr3JWu578abNy6devrzmw2mxkbfhurc7oCkMY5sp6/hZFD7r/u1xai2ZKiSTSm3bt3c9OU7dT0mqssVJUSkR/He58vRdvI2xdCXA+z2fzbwcanj5JdU0SBd03dYOMuvuBs5ROgp/SW+6W8Tl6ka3VrBniG0LtrXdfzax1s/N6779Lzya30xheAMUEHSfpko/zlRIg/S4om0VhOnTpF5NCF6PqtUhbMJrz3PcG/vngWH7/r/5u1EE2BsarqN4ON00uOk+tQir6ttm6Lr5O3dS9WY4IjStdzTUYhbYsdlcHGfuGWwcYhISFX3OKrrKzkGf8oXjMo7Qc+5ChBSRO4qZd02BfiT5GiSTSGiooK+kWP5ZewRHBSZoQ57Z3DB6vvIKzHDSqnE6LhlZXqyakdbHz4SBaZFWc44VLOxc6edcVUKysHG5dXQabS9VybVUJIeUv6aAO5sVM3IiOVbb42bdoA8I+5zzFucR5tcKMaE1NvPM2bb77ZgO9UCDsmRZNoaGazmfsfm8in5tngrszEIvt9lk6t5o5hMt5BNF9ms5nC02frBhvnH+FwdSFnPY2Yuvoq90vd4AeuVs6OKyizbPG5H6ugi9GbSE0bQt7ax3xzHwBe4gAjNr9MUPugBnxnQtgpKZpEQ/vni8uY/+PNEHCTslDwA0/23cLE+VPUDSZEE1VdXc3JXw82LjrGUU0JJf6Ovx1sbE3Xc5MZx6MlDEl3pUdGDZ3SL7Dk7Hc81OVWeoZ2pXtoBKGBnWSorxDWkKJJNKQtW5K5L6EIImpbCZSdJMo0lxUbXpSbUYW4RhfKyusGG2cdJqP8FCecy6jo5F5XTPlbOdi4stoy2NjxUDGdirT0rvLlxlah9AiNoHtoF9r6+sv3qRC/JkWTaCgZGRn0Hb2eqj4vKgvVF+iQPZoNXy7G1c3KezeEEFdlNpspLigkJ/0wRzMOk3E8m0PGc5xpWUVNl1ZKMdXNH9ysnJ9XfMGyxeeWYyC8tCU3mtvSNzCcyM4RRHYOx9Pdo2HflBBNlRRNoiEUFRUReffTFPRaDQ7KI9ct94zlo83jaRPYTuV0Qti/mpoaTuUeJyf9MNkZh9h18CdG14RQ3d2P9O5avuh+kQthnuBoZXPNvBJLMeWbb6RbuTcDXILo1Um5KhXRKQStk+0MNhbiT5GiSdQ3o9FI1L1j2N3uVXDxBsDhwGJWr+xO94F91Q0nRDNVbTSyOmA4q84r7Qa2cJx3H/HgjHc1h53OU9rhV13P21l5JamqBg4VQvo5HDKLCCpypNfF1gzwCqFHaBe6h0YQ1KadbPEJ+2Fl0SR3CAqrjZ86i90+8ywFE3mfMG9CSymYhFCRk1ZLi/i7ODnvBEG4M4QOJJ89x6cbPgOUq8Pp6emk/zudtNxMfq46yVE3A1XhPkoxFekPHi6/fVFnR+gZAD0DMAHHa//ZrKuEjFRI/xjXHaWE6tzoX9OGfu3C6R4aQWTnCHw8vRr5T0CIxiNXmoRVXn/zbaZ8HgKBdykLxQd4qNMann357+oGE0KgKz7PzoDR/LNaaT/wCunce2QtoaGhlz3fZDJx7NgxMjIyOJB+kJ/OZnHQfJZ8HyPmbn5KMRXha/1g45Olli0+nxNVdC1zZ4BjEL07RdA9NIKuwaG4OLv88esIoRbZnhP1ZefOnQyadxBz5DRloaKQ3rqpvP3pUhwdrRwlIYRoUK88/ixvf+CCG07oqeKfT3mw9O1Xr+k1Ll68yOHDh0lPT2ffL+n8VHqUQw5FnG//q67nHay8klRtgqwiSD+HJrOQ9mc19LjowwD3EHp2Vu6X6tQusMEGGwtxTaRoEvXh6NGj9HzoFcr71f7wramiTcYTfPjlAty9rJwKL4RocDkZhynt/jzjUAb5PuvyM/POfYOn5/V/n5aUlJCRkUF6ejp7cjLYU3mCI66lVIZ61RVT3lbOzzNctHQ9d87SEXLehX7VbejfJpTutS0RfL1bXXdmIa6JFE3ieun1enpGT+JYt9XgqAzdddkzhU0f/o2g0GCV0wkhfu/lgY+z8afOAByhlC8SBjJtxvQG+Vpms5mTJ0+Snp7OwfSD/HTqMPtrznDS+yKmG3yVYqqrn/WDjc8YLFt8nnkVdDV4cKNDO/p0VAqpG4LDaHGNg42FsJoUTeJ61NTUcNf9cXzjuQRa+CuLma/x5kJ/bhx0i7rhhBCX9d/kr+g+9F8MJhCAuID9vJ3/faNuoxuNRrKyssjIyGB/Zjo/nT9ChkMRRQEa5abzS13PrVFjgpzzyhZfxjkCzkD3C94McOtIz87KU3ydAzvKbQLi+knRJK7HzFkLSDgyDHx7KQv524mP2c2IKaNVzSWEuDKTycSb7Yfz7tneAGwnn8ot44mNjVU5mXLlOjMzk/T0dH7OziDtwjGynHVcCPlV13NfN+te7IIRMs9B+jmcDp8nuNiZ3kY/bmx9qet5BG1a+0lLBGE9KZrEn/XBuvU8vtYVgu9XFkqPcLfnUl5453n5ISREE7dpRSJPxR8iFOWG7TEDTrD6x20qp7o8s9nMmTNnLFt8u08cYl/1KY55VFDTtbVSTN3gBy2sbK5ZWF432PhoOeH6ltxIW/oGKYVUt5Bw3N2sHEcjmhcpmsSfsXv3bm6asp2aXnOVhapSIvLjeO/zpWidndUNJ4T4Q2V6A5/7P8rSi0r/tHc4xM3pbxIZefVfBk1JdXU1OTk5pKencyAjnR+Lssl0KOSsn7l2i88fOreybrAxwNHzlmLK/5SJyAteDHTtSM8Q5X6psCAZbNzsSdEkrtWpU6eIHLoQXb9VyoLZhM++J/joi2fx8WutbjghhNXeGP8cK9+pwRNnLlDNnMccWbl2ldqxrlt5eTm//PIL6enp7M1KZ3dZHoe1JRg6tKjb4gtwt+7FKqstXc8dDxXRsVBLr4utudGns2WwcXv/ALm63lxI0SSuRUVFBf2ix/JLWCI4KfcVOO2dwwer7yCsxw0qp7syXYmO1NRU9AYDnh4eREVF4e3jrXYsIVR1MiePE2HPMhXlF8A8p5+ZcfZLWre2z7/8nDt3Tul6np7O7rxM9hrzyW1ZjjHiV13PW1p5pfx8BaQXQPo53I4alK7npgD6tQuje2gXIkPD8XKXdit2R4omYS2z2czwkRP4jDng3kFZzH6fpVOruWPY3eqGuwK93kBCQgIpKSlUG42Wda2zM9HR0cycGY+Hh0xsF83Xy3eMYf3OIBzQcIIyNv4zkr/Pna12rEZjMpnIzc1VtvjSD/LTuWwOms9ypnUN5ktbfOGtrR9sfFxn2eJrfdLIDeWeDNQG0StYeYovomMIzlq5hcFmSdEkrPXPF5cx/8ebIeAmZaHgB8b0S2bCvMnqBrsCvd7AuLg4cnJylIWI1hDsDbklkH0egNDQUBKTEqVwEs3WTzv+S9Cd7xFLRwDGt9rLa2e/R6u18qZqO1VRUcGhQ4eUrueH0vlJn8th7Xl0gc7K9l53f2hv5ZWkqhpL13OHzEICz9UONvYMpkdoFyI7h9OxbaBs8dkCKZqENbZsSea+hCKIqG0lUHaSKNNcVmx4scl+oz///EK2JicrjycvGQy929Z9cN8ZmLUDii4QO3QoCxY8p15QIVRkNpt5Jfh+PjjeE4BUznL6w0d56KGHVE7WNBUXF1u6nqcdzeDniyfJaWHgYtivup57Wjk/r7QSMpSWCC7ZOkJLXOlX3YZ+bcMtXc9beXk36PsR10iKJvFHMjIy6Dt6PVV9XlQWqi/QIXs0G75cjKtbC3XDXYGuREfM3XcrW3JJQ39bMF2y7wyM3YLW2ZltX3wh9ziJZuuTdz7gkfF7iEQZSzKmRw6rD3ytcirbYTabOX78eF3X8zOHOWA6S753FaZLg427+ILWyuaap/SWLT7v45V0LfNggGMgvTvUDTZ2dZGu56qQoklcTVFREZF3P01Br9XgoHzDt9wzlo82j6dNYDuV013Z1uStPP/888qW3IYHLn+S2Qwj/g3Z53n++ecZEjukUTMK0VRUXqjgI7+HeOVCPwA+4Ahd05bSr18/lZPZtqqqKstg4/2/pPNjSQ6/OBZxvp1T3RZfR2/rXqzaBEeKLYON252BHpWtGODeyTLYOLhdkAw2bmhWFk3SmKIZMhqN3DsinoJur1oKJocDi3n9jfuadMEEoDcYlP8T7H3lkzQaCPaB7PN15wvRDLm6taBi/ECKE8pojSsPE0L8i6/Q7+MP1I5m05ydnenRowc9evTg0V+t63Q6ZYvvi3T2HMlgT+Vxsl30VIZ61I2QafW7q/hODsqMvq5+mIFTtf9sK6uCzDRI/xznb0sIOe9Mn+o23OgfqjzF1zkc/1a+jfemBSBFU7M0fuosdvvMAxdvZSHvE+ZNbEn3gX1VzWUNz0s3dufprnyS2Qx5Jb89X4hm6r7po1i9YgrPmnvijCMBn2Vx5swZ2ra9zNa2uC7e3t5ERUURFRVlWTObzZw6dUrZ4ks6yO78Q+yrPs0Jr0pquvrWdT13+d2vY3dnGBAIAwKpAg7X/rPhbBmkb4P09/HIu0AXvTs3atrRp3aLr1vncNxcm+btFfZAtueamdfffJspn4dA4F3KQvEBHgp+l2eXPatuMCvpSnTcfc89GKuq5J4mIay0fMgE1n7ujxMOFHCBd+YE89yiF9SO1awZjUaOHDmitETITOfH4iNkaM5R2EZTt8XXuZV1L2Yy13U9zzhHwGkTkRXetV3PlZYIoUGdZLDx1cg9TeL3du7cyaB5BzFHTlMWKgrprZvK258utalvpv95eq5XgLIlZzbD/rPy9JwQv7P/uzQ8ol7jIToDMMXjZ14u/A4XFyufBhONxmAw1A02zkq3DDYuD25ZV0z5WTk/r8IIvyhdz50OFdOpyJneRt9fDTbuQoAMNlZI0SR+7ejRo/R86BXK+72qLNRU0SbjCT78cgHuXrbV3fZ/+jSFt1LuYcqTPk1CXI7ZbGZF14dYn6X8QthLEenvxvLEqFHqBhNWMZvNnD17Vul6npHO7uOH2FedT577Baq7tFLul+rmD25W9uAqumDpet4yx1A72LgdfQPDiewcTmTnCDxaWjmOxl5I0SQu0ev19IyexLFuq8FR6VjrsmcKmz78G0GhwSqn+3MMBgMJCStISUlRtupqaZ2diYmJIT5+hhRMQvzK52v/xT1P/Id++AEwJuwQSVn/kasMNqympoajR49aBhv/VJhFOuc442uqG2wc2sr6rue5JZZiyvdUNZHl3gxwCaJXsHJVKrxjMFonO22OKkWTAOWb6q774/jGcwm08FcWM1/jzYX+3DjoFnXD1QOZPSeEdaouXmSt/wO8pVfaDfybXNr89zluucX2fw6I37pw4YJlsPG+w+n8ZMjlsLYEfQfXui2+tlb+pfJiNRxWup47/lJEUKEjvS76MsArhB6hyv1SgW3a2n7xLUWTAJg5awEJR4aBby9lIX878TG7GTFltKq5hBCNb8385cz/5zkCcKMGE5NiSnl720dqxxKNpLCw0DLYOC0vk5+rTpLbspyqcG+lmIr0V57as0ZJhaXreYsjpf872LhzON4eXg36fuqVFE3ig3XreXytKwTfryyUHuFur2W88PYC2/9bgbAbcrWw8RQXFPJD+zgW1PQGYBkHeejYJjp27KhyMqEWk8lEXl6e0hIhI52fCrI4aDrLqVbVmC91PY/wVfpJWeNEqWWLr9WJKm4o9+RGp/b07qRclerSqTMuzk3wAQQpmpq33bt3c9OU7dT0mqssVJUSkR/He58vRessk7iF+vR6AwkJCaSkpChjcWppnZ2Jjo5m5sx4uS+tAax8eAZJH3nggiMlXGTZVF8Wv/Ky2rFEE1NZWWnper7vl3R+Kj3KIadiStpr67b4gqy8kmSsgexiy2Dj9gUapeu5R4il63nHtu3V7XouRVPzderUKSKHLkTXb5WyYKrBZ/8oPvriWXz8WqsbTggu8wRkRGuly3uuPAHZ0A7vy8DYZzGjiAAgvsXP/KPwP7RsaeVj7KJZO3/+vGWw8Z6jGeypPEFOCwOVoZ51xZSXlfPzDBctW3zOWSV0rh1s3L9NmGWwcWtvn4Z9Q5dI0dQ8VVRU0C96LL+EJYKTGwBOP8/mgzWDCOtxg8rphFD8T6+tXzcp3XdGem01sJf7PMrGfeEA/EIJ/3nj/5gwcaLKqYStMpvNnDhxom6w8enDHKg5w0nvKkw31HY97+oHzlb2AzxtsGzxeR2roKvBgxsd29Ono1JIde0USgvXeh5sLEVT82M2mxk+cgKfMQfcOyiL2e+zdGo1dwy7W91wQtTSleiIuftuZUtOurqr4uuPP2fgA8ncivJnPyYoncRjqTIUVtSrqqoqsrKylJYIv2TwU8kRMh2KKApwqLsqFWzllaQaExw5D+kFaDIKaXvWTI+KVtzo1pGenZX7pULad/jzjZplYG/zs2jJy3xW9jgE1BZMBT8wZlAWdwybrG4wIX4lNTVVKZgiWl++YAKly3t4K4zZ50lNTWVI7JDGDWnnbrsvmkTfd7i1SPnzH37Si+3btxMdHa1yMmFPnJ2d6d69O927d2fEr9b1er2yxfdVOj8fySDtwjGyXUq5EOJeV0y1dvvtizk6QBdf6OKL+UE4jfJPSnkV/PIzpG9D+/15gs8708fox42+ymDj7qERtGntV2/vSYomO7FlSzLzv/SFiJuUhbKTRLV4i/FzX1Q3mBC/ozcYlP8T7H3lkzQa5W+g2efrzhf1xsnJCY+ZMRyfnUtHPLiXDsQtfkOKJtEoPD09uemmm7jpppssa2azmdOnTytbfGsOsvukMtj4uGcFNV1bK8XUDX7g+ruypaUz9G8P/dtjBLJr/9l0rhzSv4L0dbjnltNF31IZbBxYN9i4ZYvfFWZWkKLJDmRkZPDgP76HPrUFUvUFOpx4miVfLpbWAqLJ8bx0Y3ee7sonmc3KWJxfny/q1dCnRvDOc4+z2NgXgB7/LSYrK4uIiAiVk4nmSKPR0L59e9q3b09MTIxlvbq6um6w8eZ0fiz6hQxNIef8Ua5IRdYONnb43e86/5YwKAQGhVAG7AH2mMyQewrS98LOc7Q5WU2kwZOBjoH0DAzlwf+L4Y/IPU02rqioiMi7n6GgVxI4KHu5LfeM5aPN42kT2E7ldOJymntfIl2JjrvvuUcZfyP3NKnq1Sdn8ea7TrREi4EqFo514+XEN9SOJcQfKisrs3Q935uVzu6yPA5rdZR1alG3xdfGyvl5ldXwSyFmx3nQM/Cqp0rRZMOMRiM33zuGtPavgbPSL8PhwCJWr+xB94F9VU4nfk/6EtX5n6fnegUoW3JmM+w/K0/PNZK8Q0covGEeE1CerP2788/MLtiBt7e3usGE+JMKCgosXc93H8tkrzGfvJYXMHbxUYqpbn7Klt5lmFnwh68vRZMNe3L8TN4teQq8lUeHyfuE50aeZOjjD6obTPwP6Uv0W//z5xHeSrmHKa95/nmoadnNo9j0vTK4Oxc9m5f1Y8bTM1VOJUT9qampITc3V9niS1cGGx80F3DW14Q50k8ppsJaYXZc+IevJUWTjXr9zbeZ8nkIBN6lLBQf4KHgd3l22bPqBhOXJX2J/pfBYCAhYQUpKSnKVl0trbMzMTExxMfPkIKpEaR+8TVd7t1INEEAjPPfx1unf/jzj24LYSMqKirqtvgOpfPqS8v/8HOkaLJBO3fuZNC8g5gjpykLFYX01k3l7U+Xyg+6Jkj6El1dc7/HS20mk4k3gobz3mllHt03nEL/6Vj++te/qhtMiCZIOpnZmKNHjxL79Kd1BVNNFW2yp7LigwVSMDVR19SXqKqK1NTUxg2oMm8fb4bEDmHEiEcYEjtECqZG5uDgQJu/DyULHQB30J7kRW+pG0qIJkqKJhui1+sZPPJ5ynvXDdd02TeTt9dNxt3LU8Vk4mquqS/Rr88XopHcO/ohVrnmWI7/sqeSgwcPqphIiKZJiiYbUVNTw7DHp3MsbDk41t75n/kqK5ZGERQarG44cVXSl0g0dS093NGN6Uspyr1ljxLK6pdeUTmVEE2PFE024pk5C/nGcSq08FcW8rcT/7CBGwfdom4w8YeioqLQOjtDVrFy79Ll7D8L2efROjsTFRXVuAGFAIbGj2YNWQC0wAmvDw9SWFiociohmhYpmmzAB+vWs2JfT/DtpSyUHuHuwH/xyORRasYSVvL28a4bTzFrh1I4XXr+wmyue3oOiImJkXt6hCoCQzqye3ArTCj/bY6rCSfprXdUTiVE0yJPzzVxu3fv5qYp26npNVdZqColIj+O9z5fqly9EDZB+hIJW7Bn53e0uSOJv9IJgAk+e3m14Hu0Wq26wYRoIuRKUxN26tQpoick1RVMphp8Mibz+ob5UjDZGE9PDxKTEokdOlT5d5d9Hr48atmSix06VAomobq+/3fT/7d352FZl3nfx98soiAiuGuoqQiVmphNi4NPPS6BlbhUVmZuaVbjMjdmmZjVPW5jhSaaGy65YLZYCs2Q9jBTQ4tZN5p4mwSZC6WFiqCi4MX1/PHTyywtTLjOa/m8/mnO7/EjPsfRHPXxt5wnb7cudqwHH72Kt956y2AiEdeiO00uqrS0lM6xI9nVdjH4Wycx+3/5DKuWdaft9dcZTidXQvsSiSt7NyWVe0d+RkfqAzC8XS7Lcv5lOJWIa1BpckF2u53+gx7nXRIh2Nqll90rmDXORrd+vcyGExGPdqq0lNcb3kfyiT8BsIZviPhsBjfffLPhZCLm6fGcC5o28yXePT74fGE69CmP9MhVYRKRalcrMJCyJ/5MIacAGEAbXpsx13AqEdeg0uRiNm5M49n3G0CTLtbg+H5iAhfwWOJfzAYTEa/Rd9xQlvhY2w/UwJerNuZRUFBgOJWIeSpNLiQnJ4f7/vYJRA2zBmdO0mLfk8xc+hw+Pj5mw4mI12h0VVN29G5GORUAPGqPYknyq4ZTiZin0uQiCgsL6THsZcqipzpmtbeNZcHaCdQKCjSYTES80R3PDOMtvgWgIYEcnf8+p06dMpxKxCyVJhdQXl7OnQMTONR+Dvhah+76bp/GvPl9aBzezGw4EfFKHW7pTNp1ZY718ONXk7pmjcFEIuapNLmAUWMmsjVsMgTUtQZ71jP5iWA63NLZbDAR8WrtEh9gCz8C0JH6fDx9BfrgWryZSpNh815dyPL9sRAaaQ0Ob2dAx4+IH3yf2WAi4vW633sXy0L3OdZ3fxvIhx9+aDCRiFkqTQb961//Yuya0xB+hzUo/YlOZTMZP3O82WAiUu2KjhaRnpZOaupa0tPSKTpaZDrSr9QICKDGuG58zwkA+nA1a6cnG04lYo42tzQkPz+fjgNe4cSNZ/c/sZXROGcI695/juC6IWbDiUi1KS4uISkpiYyMDM6UlzvmNQICiI2NZfz4BJc6TufoT4f5T9NHeMHWCYAkvqLft6m0atXKcDIR59OdJgOKi4vpMeh5TnR6yTGrmT2ehatHqzCJeLBzBzenp6VZhSmqPsS1gch6lJeVkZ6WxsgRIykpKTEd1SGsYX3yB7ThFGcAGE4Ui5N0t0m8k0qTk9lsNvoN/ivftX0Z/M4eurtzLrNnxdA8Qn9yE/FkSUlJ5OXlQYMgSImH1HthWg9Ye5+1bhBEXl4eSUmzTUe9wF1PD2cNeQCEUpPylI9cqtiJOItKk5NNmPQCmX5jIbCRNTiwmYT7S7ipe1ezwUSkWhUdLSIjI8NazOwBnZpeeEGnptYcyMjIcKl3nCI7tmPzjX6O9chTbXht+QpzgUQMUWlyolWr1zA7uyM0iLYGx76hV/ibPDh6qMlYIuIEWVlZ5x/J/bIwnRPdxPGoLisry7kBf8efEgfxL74HIIpQtv19DRUVFYZTiTiXSpOTfP755wxL/g5a3WMNyo4RdTiRKcmTdESKiBcoPvc4q1XopS/y8YFWYRde7yK69u7J6kYHHet7v693/s6ZiJdQaXKCgoICYh9PwRadaA0qbITljGZe6rPUCAgwG05EnCLk3Bdxe4oufZHdDnuOXni9i/Dz86PuhF58SzEAcTRn/XSdRyfeRaWpmpWWltLzwacpip7jmPlnT+bVpUMIa1jfXDARcaqYmBjrD0m7D0P2Dxe/aNtByD1CjYAAYmJinBuwEuJHPMiigG8c6xs+LmLXrl0GE4k4l0pTNbLb7Qwc8V/saj4D/IOs4e4VTE+MoO3115kNJyJOFRoWSmxsrLWY+IFVnM5tk2e3W+uJHwAQFxdHaFiomaC/oU5oXQ4N7sBxrP2lhhBJyouvGE4l4jza3LIa/W36LKZsiYEmXazBoU955MY0Hp882mwwETHi3D5NeXnW5/tE1rPeYdpzFHKPABAREcGSlCUutcHlz323O48frpnEaNoBMKnGl0w4tJmwsDDDyUSqn+40VZMNGzYyZVPD84Xp+H5iAhfwWOJfzAYTEWNCQuqwJGUJvePjrUd1uUfg/XzHI7ne8fEuXZgAro6K4OOuwY71o+WRLF20xGAiEefRnaZqkJOTQ+dhayi7YYY1OHOSFrnDSH1/OrWCAs2GExGXUHS0iKysLIpLSgipU4eYmBiXfCR3MZ++/29ax63iTloAMKpBNvN/+AR/f3/DyUSql0pTFSssLKR9rwkcik4BX2szuNpfjOCNDY/ROLyZ4XQiIlfObreT3KI/rx2IBuBDvqfwraHcc889ZoOJVDM9nqtC5eXl3DkwgUPt5zgKk+/2acyb30eFSUQ8ho+PD82e6cMurO0RbqMZ701baDiVSPVTaapCo8ZMZGvYZAioaw32rGfyE8F0uKWz2WBOUHS0iPS0dFJT15Kelu5SR0CISNW7a8gAFgfmO9Zds8vJzs42mEik+ukBdBVJnr+A5ftjITzSGhzezoCOHxE/+CmzwapZcXEJSUlJZGRkWEdEnFUjIIDY2FjGj09w6ZdaReSPCawdRMnIP3F07inCqMlAInhy5iskr1thOppItdGdpiqQmZnJuNQyCL/DGpT+RKeymYyfOd5ssGp27vPp9LS082dqxbVxnJ2VnpbGyBEjdRq6iIfqmzCcpewGoCZ+1H97J4cOHTKcSqT6qDRdofz8fOInvIu9/ThrYCujce5YZq96Dj8/v9/+YTeXlJRk7TfTIAhS4iH1XpjWA9beZ60bBJGXl0dS0mzTUUWkGjRtGc6XcQ2xYR3cO8p2DUvm690m8VwqTVeguLiYHoOe50SnlxyzmtnjWbh6NMF1Qwwmq35FR4vOH9Y5s8evT23v1NSaAxkZGXrHScRDdXtmKO+yF4CmBPHD3DTKysoMpxKpHipNf5DNZqPf4L/yXduXwe/sobs75zJ7VgzNI1qZDecEWVlZ5x/J/bIwnRPdxPGoLisry7kBRcQpOnW9mfURxx3rIcea88a6dQYTiVQflaY/aMKkF8j0HweBjazBgc0k3F/CTd27mg3mJMXn3lNqFXrpi3x8rCMifn69iHgUHx8f2k66l2wKAbiJRmROX4q2ABRPpNL0B6xctZrZ2R2hfkdrcOwbeoW/yYOjhxrN5Uwh576I21N06YvsdutMrZ9fLyIe544H+5JS57vz66/9+fTTT80FEqkmKk2X6fPPP2f4vL3Q6uzOt2XHiDqcyJTkSfj4+JgN50QxMTHW2Vm7D1uns1/MtoOOM7ViYmKcG1BEnKZmrVpUjO7Kj5QCcC+tWDVjruFUIlVPpekyFBQUEPt4CrboRGtQYSMsZzTzUp+1CoQXCQ0LJTY21lpM/MAqTudux9vt1nriBwDExcW5zZlaIvLH9B0zhMW+1vYD/vjS8r097N+/33Aqkaqls+cqqbS0lM6xI9nVdjH4BwHg/+UzrFrWnbbXX2c4nRnn9mnKy8uzBpH1rHeY9hy1Tm8HIiIiXP7UdrmQOx8kK2Yl3TOW5etDCcCPQk7xyvim/O2lmaZjiVQZlaZKsNvt9B/0BO8yCYKbW8Pdy5k1roJu/XqZDWdYSUkJSUmzycjIoPxnnxnXCAggLi6OhIT/UmFyE9rdXa7Uzq3b8L3pJQbRFoBxQV8w46f/EBQUZDiZSNVQaaqEv02fxZQtMdCkizU4+Akj/pTGY5PHmA3mQnR3wr396q5hVH3ry8hvdddQLs/L1z9A6o5rAdjBET5b1JORjz5qOJVI1VBp+h0bNmyk7+zDEDXMGhzfT1f7ZJLWTPeqF7/Fsz3//Aukp6VZu7v/crPSc++nFZ6kd3w8zz03xVxQcXmb1m3gtgcy6EITAB5pmUPKniz9+1I8gl4E/w05OTkMmPrp+cJ05iQt9j3JjJQp+heAeAzt7i5VqVv/O1kRdsCx7rO3DpmZmQYTiVQdlaZLKCwspMewlymLnuqY1d42lgVrJ1ArKNBgMpGqpd3dpSr516hBrYSeHMDaJfxuWrBu+jzDqUSqhkrTRZSXl3PnwAQOtZ8Dvtahu77bpzFvfh8ahzczG06kiml3d6lqfR4fxCL/XAB88aFd5iHy8/MNpxK5cipNFzFqzES2hk2GgLrWYM96Jj8RTIdbOpsNJlINtLu7VLXQ+vXY+0AkpZwBYBhRLH5Jm12K+1Np+oXk+QtYvj8WQiOtweHtDOj4EfGD7zMbTKSaaHd3qQ53PTWc1XwDQAgB2Jd/THFxseFUIldGpelnMjMzGZdaBuF3WIPSn7ih/O+MnznebDCRaqTd3aU6RHS4lsybajjWI09HsGLZcoOJRK6cthw4Kz8/n44DXuHEjWdvIdvKaJwzhHWbnic4RI8j5PK4275V2t1dqsNHaZvoEP8mPQgHYGSTbSwq+BRfX/15XdyTShNQXFxMx9i/8F27peBnnSFX84sxvL7uAZpHtDKcTtyJO++qrd3dpapVVFTw6lX9WX6wEwCbOcCpjY/Ru3dvw8lE/hivL002m4077hlJZshMCGxkDXfO5dUXGnNT965mw4lb8ZRdtd3tLpm4ttdnL2FUwi4isD6seeTmfSz97J+GU4n8MV5fmhKensLs/HugfkdrcGATCXFbGThmmNlg4na0q7brUyF0vuPFJbzX6CFmnba+Pl7ELv6841Xat29vOJnI5fPq0rRy1WqGrAqCVv2twbFv6FV3Fv+98Hnt+C2XpehoEXG9elmP5FLiL75JZPYPMGIjNQIC+Oc//qH/WDuROz829QTzH5vCnEU2QgjgJGeY9LAfc1YuNh1L5LJ57dt4n3/+OcPn7T1fmMqOEXU4kSnJiSpMctm0q7brOvfYND0t7fw/o7g2jn8W6WlpjBwxkhJt2llt4p8cxgqszS6D8Cd47f9w+PBhw6lELp9XlqaCggJiH0/BFp1oDSpshOWMZl7qs9Z+NSKXSbtqu66kpCTrPbMGQdZdwNR7YVoPWHuftW4QRF5eHklJs01H9VjNI1rx6f8NoQLrwcajZ6JIWag7TeJ+vK40lZaW0vPBpymKnuOY+WdP5tWlQwhrWN9cMHFr2lXbNekwYtfRddIQ3mMfAC0IZk/Sesp/9qhUxB14VWmy2+0MHJHAruYzwD/IGu5ezvTECNpef53ZcOLWtKu2a9JjU9dxU/euvNGyyLEedKQZ77zzjrlAIn+AV5WmqTNe5N3jD0Nwc2tw8BNG9MilW79eZoOJ29Ou2q5Jj01dh4+PDy2e6UcO1vYbMTQhY9oiw6lELo/XlKYNGzYyZVNDaNLFGhzfT9faixiVONpsMPEYCQkJREREQOFJGLERBr4Fkz6w/jpiIxSeJCIigoSE/zId1WvosalrufPhe1kS9K1jfftXFXzxxRcGE4lcHq8oTTk5OQyY+ilEnd176cxJWux7khkpU/SlnFSZkJA6LElZQu/4eOtRXe4ReD/f8Uiud3y8y29s6Wn02NS11AoKpPSxWzjMKQAeoA0rZr5iOJVI5Xn8Pk2FhYW07zWBQ9Ep4OsHQO0vRvDGhsdoHN7McDrxVNpE0XX8atPR6CbWIzm73SpM2nTUqQ7uL2BnyzE8Zbc2FP6bbzYjDmygadNLvHMm4kI8ujSVl5fz57seYetVyRBgbeHvu30aS+dcT4dbOhtOJyLOoMOIXc/Ldz/Oyvca4Y8vhzjJokmtmDLtv03HEvldHv14btSYiWwNm+woTOxZz+QnglWYRLyIHpu6nu7PDGc9ewBoTBA/Jv+D06dPG04l8vs89k5T8vwFjP1HGwi/wxoc3s6AVst56sWnzAYTEWP02NQ12O12Zl87gDW7rfPnvuQncpbHM2ToULPBRH6HR5amzMxMejy7A3v7cdag9EduODaOBetn4efnZzaciIjw3so3uXPIh9xIQwCGt93F0t0f6uMccWke93guPz+f+Anvni9MtjIa544jadXzKkwiIi6i5/3xLA3Z61j3+qamNhcVl+dRpam4uJgeg57nRKeXHLOa2eNZuHo0wSF6X0FExFUE1KyJ79jbOchJAPpxNWtmJBtOJfLbPKY02Ww2+g3+K9+1fRn8zh66u3Mus2fF0DyildlwIiLyK31GD2ax324A/PGl9T/3sXfv3t/5KRFzPKY0TZj0Apn+4yCwkTU4sImE+0u4qXtXs8FEROSi6jduSG7/qzmNDYARRLF49jzDqUQuzSNK08pVq5mdHQ31rc3SKMqlV/ibPDh6qMlYIiLyO3pNfITXyQegHrU4uTiTEydOGE4lcnFuX5q2bNnC8Hl7oVV/a1B2jKgjk5mSnKivMEREXNw1N3QgI/r8R9wjSluzauVKg4lELs2tS1NBQQFxTyzFFp1oDSpshOWMZl7qs9YmdiIi4vKiEwfyH6yzAdtRj60zVuGBu+GIB3Db0lRaWkrPB5+mKHqOY+afPZlXlw4hrGF9c8FEROSy3N43jtcafO9Y99sfwubNmw0mErk4tyxNdrudgSMS2NV8BvgHWcPdy5meGEHb668zG05ERC6Lv78/wQmx7KUEgLtpyZvT5xtOJfJrblmaps54kXePPwzBza3BwU8Y0SOXbv16mQ0mIiJ/SPyogSzyz3WsO3xYSG5u7m/8hIjzuV1p2rBhI1M2NYQmXazB8f10rb2IUYmjzQYTEZE/rG69MAoeupaTnAFgGJEseWmu4VQiF3Kr0pSTk8OAqZ9C1DBrcOYkLfY9yYyUKfpSTkTEzd391COsxLq7VIcA/F77jGPHjhlOJXKe25SmwsJCegx7mbLoqY5Z7W1jWbB2ArWCAg0mExGRqtD6ukj+fWstx/rRsrYsT1lqMJHIhdyiNJWXl3PnwAQOtZ8Dvtahu77bpzFvfh8ahzczG05ERKrMrYkPs4kDALQmhP+dtQ6bzWY4lYjFLUrTqDET2Ro2GQLqWoM965n8RDAdbulsNpiIiFSpLr26kdrsJ8f6gR8bkp6ebjCRyHkuX5qS5y9g+f44CI20Boe3M6DjR8QPvs9sMBERqXK+vr40fjqe3RQB0I2r2Dj1VbOhRM5y6dKUmZnJuNQyCO9pDUp/5IbymYyfOd5sMBERqTZ3DRvA4lp5jvWtX5ziq6++MphIxOKypSk/P5/4Ce9ibz/OGtjKaJw7jqRVz+Pn52c2nIiIVJvadYIpeqQzxygD4CEiWPr3VwynEnHR0lRcXEyPQc9zotNLjlnN7PEsXD2a4JA6BpOJiIgzxCcMYxm7AQjEn7rrvuKnn376nZ8SqV4uV5psNhv9Bv+V79q+DH5nD93dOZfZs2JoHtHKbDgREXGK8NYt+bxHPSqwDu591BZJyoJFhlOJt3O50jRh0gtk+o+DwEbW4MAmEu4v4abuXc0GExERp7p90hA2sheAcILZN2cD5eXlhlOJN3Op0rRy1WpmZ0dD/Y7WoCiXXuFv8uDooSZjiYiIAZ1v78LbrYsd68FHr+Ktt94ymEi8ncuUpi1btjB83l5o1d8alB0j6shkpiQn6ogUEREv5OPjw9XP3MN2DgNwK43ZPG2x4VTizVyiNBUUFBD3xFJs0YnWoMJGWM5o5q+dQo2AALPhRETEmLiH+pFS+1vHuvtOH7Zs2WIwkXgz46WptLSUng8+TVH0HMfMP3syC5YNJbRBPXPBRETEuFqBgZQ98WcKOQXAANrw2oy5hlOJtzJamux2OwNHJLCr+QzwD7KGu5czPTGCiA7XmowmIiIuou+4oSzxsbYfqIEvV23Mo6CgwHAq8UZGS9PUGS/y7vGHIbi5NTj4CSN65NKtXy+TsURExIU0uqopO3o3o5wKAEbao1iSrKNVxPmMlaYNGzYyZXMjaNLFGhzfT9faixiVONpUJBERcVF3PDOMt7DebWpEIEfmv8+pU6cMpxJvY6Q07dixgwFTP4XIodbgzEla7HuSGSlT9KWciIj8SodbOpN2XZljPfx4S1LXrDGYSLyR00tTYWEhPYcnURY91TGrvW0sC9ZOoFZQoLPjiIiIm2iX+ABb+BGAaBqQNX05drvdcCrxJk4tTeXl5dw5MIFD7eeAr3Xoru/2acyb34fG4c2cGUVERNxM93vvYlnoPsf67m+D+PDDDw0mEm/j1NI0asxEtoZNhoC61mDPeiY/EUyHWzo7M4aIiLihGgEB1BjXje85AUAfWpI6PdlwKvEmTitNyfMXsHx/HIRGWoPD2xnQ8SPiB9/nrAgiIuLm+v5lMIv8cgHww5eozd+zZ88ew6nEWzilNGVmZjJubTmE97QGpT9yQ/lMxs8c74xfLyIiHiKsYX3yB7ThFGcAeIQoFifpbpM4R7WXpvz8fHpP2IC93VhrYCujce5YklY9j5+fX3X/ehER8TB3PT2cVPIBCKUmZSkfcfz4ccOpxBtUa2kqLi6mx6DnOdnpRcesZvZ4Fq4eQ3BIner81SIi4qEiO7ZjU+fz//kaeaoNry1fYS6QeI1qK002m41+g//Kd21fBr+zh+7unMvsWTE0j2hVXb9WRES8wI2JD/FvvgfgGkLJ/vsaKioqDKcST1dtpWnCpBfI9B8HgY2swYFNJNxfwk3du1bXrxQRES/xf+LvYFXDg471PQWhvP/++wYTiTeoltK0ctVqZmdHQ/2O1qAol17hb/Lg6KHV8etERMTL+Pn5UXdCHHsoBqAXLXh72nzDqcTTVXlp2rJlC8Pn74NW/a3B6SKijkxmSnKijkgREZEqEz9yIIsCvnGsO31cxNdff20wkXi6Ki1NBQUFxD2xDFvHSdagwkbozjHMXzuFGgEBVfmrRERcXtHRItLT0klNXUt6WjpFR4tMR/IodULrcvDh9hynHIAhRLLkxVcMpxJP5mOvooN7SktL6Rw7kl1tF4N/EAD+Xz7D6uU9iOhwbVX8ChERt1BcXEJSUhIZGRmcKS93zGsEBBAbG8v48QnUqaMviKvCd7vzOHjNJP5COwCeqfElTx3aTFhYmOFk4omq5E6T3W5n4IgEdjWf4ShM7F7OtMQIFSYR8SrFxSU8OnIk6WlpVmGKqg9xbSCyHuVlZaSnpTFyxEhKSkpMR/UIV0dFkBVT27EeVR7JssUpBhOJJ6uS0jR1xou8e/xhCG5uDQ5+wogeuXTv16sq/vYiIm4jKSmJvLw8aBAEKfGQei9M6wFr77PWDYLIy8sjKWm26ageo0viYP6JdZDv1dQh9+U3OXPmjOFU4omuuDRt2LCRKZsbQZMu1uD4fmJqL2RU4ugr/VuLiLiVoqNFZGRkWIuZPaBT0wsv6NTUmgMZGRl6x6mK3HLHbbweftixHvhTYzZu3GgwkXiqKypNO3bsYMDUzyByqDU4c5Lm+xKYmfKcvpQTEa+TlZV1/pHcLwvTOdFNHI/qsrKynBvQQ/n6+tLs6T58TREAt9GM96YtNBtKPNIfLk2FhYX0HJ5EWfTfHLPa2WNY9PpEagUFVkk4ERF3UnzuPaVWoZe+yMcHWoVdeL1csTuHDmBRYJ5jHfM/ZWRnZxtMJJ7oD5Wm8vJy7hyYwKH2c8DXOnTXd/s0khf0pdFVl/jTlYiIhws590XcnqJLX2S3w56jF14vVywouDYlI//EUU4DMJAIls3U9gNStf5QaRo1ZiJbwyZDQF1rsGc9iU/U5vqbO1dlNhERtxITE2PtSbf7MGT/cPGLth2E3CPUCAggJibGuQE9XN+E4SxlNwA18aP+2zs5dOiQ4VTiSS67NCXPX8Dy/XEQGmkNDm/n3o4f0mfwgKrOJiLiVkLDQomNjbUWEz+witO5rfDsdms98QMA4uLiCA0LNRPUQzVtGc6XcQ2xYR3cO8p2DUvm690mqTqXtbllZmYmPabkYG831hqU/kj0sXEsWj8LPz+/6sooIuI2zu3TlJd39v2ayHrWO0x7jkLuEQAiIiJYkrJEG1xWg//56DPq3baQe2gFwF/qfsnsHz8hQKdSSBWo9J2m/Px8ek/YcL4w2cpolDuGOaueV2ESETkrJKQOS1KW0Ds+3npUl3sE3s93PJLrHR+vwlSNOnW9mfURxx3rIcea88a6dQYTiSep9J2mVrc+zHftloKf1dZrbh1N6hsP0DKidbUGFBFxV0VHi8jKyqK4pISQOnWIiYnRIzknSFv+On2Gf0wnGgAw/JrdLP3ff2krHLlilS5NPoN/hMBG1mLnXOa+0JAu3W+rzmwiIiKX7fSpU6xpdB/zS24E4HXyafHxf9OlSxfDycTdVf5F8HOF6cAmHrv/qAqTiIi4pJq1alExuis/UgrAvbRi1Yy5hlOJJ7i8r+eKcrk9fC1DRw+vpjgiIiJXru+YISz2tbYf8MeXlu/tYf/+/YZTiburfGk6XUTUkcmMT56Av49e/BYREdfVoGljdvVtThk2AEbYr2HxK/MNpxJ3V+l3mhrdcD8vbhrHtQ1a4Hfl5/yKiAvSi8viSXZu3YbvTS8xiLYAjAv6ghk//YegoCDDycRdVbo0vX3gM4LDG9AA/Z9NxNMUF5eQlJRERkaGdeDsWTUCAoiNjWX8+AR9Ii9u6eXrHyB1x7UA7OAIny3qychHHzWcStxVpW8Z1Q5vQDDaHEzE05zbjDE9Lc0qTFH1Ia4NRNajvKyM9LQ0Ro4YSYkOlxU31CHxQT7hoPW/qcen01/jMvZ0FrmAnrOJeLmkpCRr9+oGQZASD6n3wrQesPY+a90giLy8PJKSZpuOKnLZuvW/kxVhBxzrPnuDyczMNJhI3JlKk4gXKzpaREZGhrWY2QM6Nb3wgk5NrTmQkZFB0dEi5wYUuUL+NWpQK6EnB7B2Ce9NS9ZNn2c4lbgrlSYRL5aVlXX+kdwvC9M50U0cj+qysrKcG1CkCvR5fBCL/HMB8MWH6zIPkZ+fbziVuCOVJhEvVnzuPaVWoZe+yMfHOnD259eLuJHQ+vXY+0AkpZwBYBhRLH5Zm13K5VNpEvFiIee+iNtTdOmL7HbYc/TC60XczF1PDWc13wBQlwAqlmVRXFxsOJW4G5UmES8WExNDjYAA2H0Ysn+4+EXbDkLuEWoEBBATE+PcgCJVJKLDtWTeVMOxHnk6ghXLlhtMJO5IpUnEi4WGhRIbG2stJn5gFadzn2Pb7dZ64gcAxMXFaaNLcWt/SnyY/0cBAJGEsmPWWioqKgynEndS6c0tM8ijDgHUwr+6M4mIE53bpykvL88aRNaz3mHacxRyjwAQERHBkpQl2uBS3JrNZmPBVf1ZfugGADZxgLK0x7n77rsNJxN3oTtNIl4uJKQOS1KW0Ds+3npUl3sE3s93PJLrHR+vwiQewc/Pj/pP3UU+1rtMdxDOO9NeNZxK3InuNImIg86eE093/Fgx7zV6iFllNwKwkP+la85C2rVrZziZuAOVJhER8SrzRj3L3MUV1CGAk5whcbA/s19bZDqWuAE9nhMREa8S/+QwVmBtdhmEP0GpX3LkyBHDqcQdqDSJiIhXadG2NZ/cHkIF1oOWUWeiSFm42HAqcQcqTSIi4nViJg3hH+wDoAXBfJu0njNnzhhOJa5OpUlERLzOzT268kaLIsf6ocNNeOedd8wFEreg0iQiIl7Hx8eH8Gf6shPrXaauNOWf0/QyuPw2lSYREfFKdw2+jyVB3zrWt2238eWXXxpMJK5OpUlERLxSraBAToy6mSOcAuBB2rBi5iuGU4krU2kSERGv1fevw0jx2Q1AAH40Wv81Bw8eNJxKXJVKk4iIeK0mLa5i252NOYN1cO+jFVEsTtbRKnJxKk0iIuLVuj8znPXsAaAxQfyY/A9Onz5tOJW4IpUmERHxah273MiGqFLHelhJC15fu9ZgInFVKk0iIuLVfHx8iJo0gC/4CYDONOTD6cuo5NGs4kVUmkRExOv1vD+epSF7Hete39QkKyvLYCJxRSpNIiLi9QJq1sR37O0c5CQA/biaNTOSDacSV6PSJCIiAvQZPZjFftb2A/740vqf+9i7d+/v/JR4E5UmERERoH7jhuT2v5rT2AAYQRSLZ88znEpciUqTiIjIWb0mPsLr5ANQj1qcXJzJiRMnDKcSV6HSJCIictY1N3QgI/r8V3MjSluzauVKg4nElag0iYiI/Ex04kD+ww8AtKMeW2es0vYDAqg0iYiIXOD2vnG81uB7x7rf/hA2b95sMJG4CpUmERGRn/H39yc4IZa9lABwNy15c/p8w6nEFag0iYiI/EL8qIEs8s91rDt8WEhubu5v/IR4A5UmERGRX6hbL4yCh67lJGcAGEYkS16aaziVmKbSJCIichF3P/UIK7HuLtUhAN/XPuPYsWOGU4lJKk0iIiIX0fq6SP59ay3H+tGytixPWWowkZim0iQiInIJtyY+zCYOANCGEHbOWofNZjOcSkxRaRIREbmELr26sbbZT471Az82JD093WAiMUmlSURE5BJ8fX1p+FRvcikCoDtXsXHaArOhxBiVJhERkd9w9/D7WVwrz7G+ZetJvvrqK4OJxBSVJhERkd9Qu04wR4bfwDHKABhEW5bN0vYD3kilSURE5Hf0GT+c5ewGIBB/6qzbTmFhoeFU4mwqTSIiIr8jvHVLPuseRgXWwb2jzkSSsmCR4VTibCpNIiIilXD7pCGksReAcILZO/tdysvLDacSZ1JpEhERqYQb/++fefPqYsf64aPNePvttw0mEmdTaRIREakEHx8fWk3qzw6OANCFJmyatthwKnEmlSYREZFKihvUn8W1v3Wsu+XA559/bjCROJNKk4iISCXVCgyk7PFbKeQUAANozWsztf2At1BpEhERuQx9xg0lxedrAALwo+m7uXz//feGU4kz+F/Oxac5U105RERE3ELd8EZs692M8o0V1MCXR+3XsCD5VZ6bMdV0NKlmPna73V6ZCz9iLyfRp5UiIiLn+OPDtTTkKkJMRxEnqHRpEhEREfFmeqdJREREpBJUmkREREQqQaVJREREpBJUmkREREQqQaVJREREpBJUmkREREQqQaVJREREpBJUmkREREQq4f8DjLvzjdU9QEYAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 1700x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# color those points clearly belonging to each individual class - those lying near the points we already have on the positive side of only one classifier.\n",
    "demo1.show_fusion(region = 1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "hUUlkikIOONN"
   },
   "source": [
    "## Points on the positive side of more than one classifier"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "KbFdVyG4OONN"
   },
   "source": [
    "Notice there are regions left uncolored above that do not fall into this first category (of being on the positive side of a single classifier). These include regions where points are on the positive side of more than one classifier - these are the three triangular white regions bordered by *two* decision boundaries. For example points in the white region at the top - bordered by the red and blue decision boundaries - are on the positive side of both the red and blue classifiers. The un-colored regions also include the one in the very middle of the plot whose points are on the negative side of all three classifiers.\n",
    "\n",
    "Let us first determine how to appropriately classify points in those un-colored regions where more than one classifier is positive. We deal with the case where a point ends up on the negative side of all classifiers in the next Subsection. For simplicity, here we only consider the top region that is on the positive side of both the red and blue classifiers (the other regions should behave similarly). "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "UwY5IgvpOONN"
   },
   "source": [
    "In the Python cell below we show two example points in this region. In each case we plot the original dataset and individual classifiers along with new point in question in black. We also highlight the distance from the new point to both decision boundaries in dashed black, with the projection of the point onto each decision boundary shown as an 'X' in the same color as its respective hyperplane."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "id": "eL3E0GnOOONN",
    "outputId": "23b28b5e-e3f0-45cf-89a2-2f2b27abaa37"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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qy2fJQyF3CaN4cjmf9s5By5YtzA0ncp/U1BMxUXh4OPXqvEDVhLyOBl4cSSznJO0p7ThubNnE4ew32bFrJ9WqVUvzXHe/vPft20fhwoUpXrx4ml9TnNvFixep0OxdYqovMAp2GwUOduX7DZMpWLCgueFERETkL/47+j26/fcUhfAgGRt9m9xg3oZPzI4lfyMxMZFPP/2UWbNm8d133/Gf//yH5cuX83//93/pcv1vvvmGX3/9lebNm6fL9VLLxCkBjNj9DBSuYxSufMfIylv573sjzQ0m8gA0t07ERNWrV2fzti0ctN6gMZuII4mcuNGTpx0NvSYumzmc/Sabt21Jl4YegKurK3a7nb59+/LMM8/wzTffpMt1xTnFx8fTsO1QYioHOmpuh8ewNXigGnoiIiIZVPe+bxHkehyAbLhQcuM5fv75Z5NTyd/p3bs37du3J0+ePKxfv57jx4+nW0MPjM0zmjdvjt1uZ+DAgaxevTrdrv2w1q8PZURo3nsNvbgL+LotZNyY4eYGE3lAauqJmKxmzZpMnDKJ3VxiOSf/8NpyTrLLdpGJUyZRs2bNdM1lsVgcj+vXq1ePxYsXp+v1xTnY7XY6dB9MZJHxjnVKOPERK4dVo3LlyuaGExERkX/0+OOPc7X5UySQAkA3yhI0Y47JqQTg8OHD+Pn5OTa4GzJkCN9//z1bt27F19fXtHWxk5OTOX/+PK+//jrjx4/PsBtoHDt2jJbv7YRy3YxCcjxlzg5l1eIZWlNcMh39P1bEZHv27GH40GHUcSlCe0r/4bX2lKaOSxGGDx3Gnj170j1bgQIF2LZtG507d6ZLly5MmDAh3TNI5jZhcgCfx7a9t07Jr3sZXe88zZu/bm4wERER+Vd+wwawklMAPEZ2bgd9RVxcnMmpsqaUlBS++OIL6tatS5UqVdi+fTsJCQkAlCtXjvLly5ucENzc3Pjkk0947733GDVqFG3btuX27dtmx/qD6OhoGnSeTEKViY5ansP+bA2ZSM6cOU1MJvJw1NQTMVF4eDiNGjT8y5p68znmmIq7wdaIqgl5adSgIQcOHEj3jO7u7syfP585c+bQpEmTdL++ZF5r165j1KbHoFBto3DrPM2yL2bsaE1rEBERyQyqVq1KmE82x3G3+JIs++gjExNlXR9//DEtWrQgJSWFTz75hNOnT9O2bVuzY/2Fi4sL7777Lp9++ilr165lzpyM83RnUlISTdv5c+npQHAxNgR0OTqZjbM7aA1xybTU1BMx0YEDB7gVH8crtuL3NsVgI73Yzcu/W2PvFVtxbsXHER4ebkpOi8VCnz59qFKlCgkJCXTq1IkTJ06YkkUyh8jISFqN2wVluxiF5HjK/vwOKxfNyFS7oomIiGR1TUb2ZBeXACjPY+yfuCzDTqt0JsePH6dPnz7069cPgJYtWxIeHs7u3btp1aoV2bJl+5d3MNfdvIMGDQLg+vXr5gYC+gwawd68w8HqZRR+XktQ94LpvsyRSGpSU0/ERD169MDf358h7CWAo7zssplwt2uMpioHieJlNhHAUYawF39/f3r06GF2ZK5evcp3333Hs88+y5YtW8yOIxmQMa1hCol/mNYwiK0rJuHh4WFiMhEREXlQr732GiH5LzuOX/8lD1u3bjUxkfOy2Wxs2rSJJk2aUK5cOT777DOKFCkCgIeHR7ptmpdannrqKdzc3Dh06BAlSpRg2bJlpmWZN38BC069CJ7ljMK17+nz1Ld07eJnWiaR1KCmnoiJLBYL06ZNczT2DlpvsG5DKPHZLWymCQeJYgh76dixI9OmTcsQTzgVK1aMvXv3UrNmTZo0aUJgYKDu1opDUlISvm0Hcbl84L1pDUcmsWlOJ7y9vc0NJyIiIg8sW7ZslBrckp+JBaApJfh0wlyTUzmXu2PpX375hZdffpkrV66wdOlSzp07x/DhmX/ZkqeffpoWLVrQsWNHhg4dSkpKSrpef+fOnfReGgvFf1tK6E4Uz8dPI3Dq++maQyQtqKknYrK7jb158+axY9dOGjRogGuX2pTnMXbQlFnUxDM5W4Zo6N2VN29e1q1bx+DBgxk0aBBhYWFmR5IM4q0Bw9nnOfLetIazq1nYqzA1atQwN5iIiIg8tK49uxPkdtJxXGlnlJZiSQVnz55lyJAh+Pj4kJycTIkSJfj+++8JDw+nY8eOWK1WsyOmCqvVSnBwMNOnTycgIIBXX32Vmzdvpsu1z5w5g++gT7BX9DcKtiS8f/Rn7fLADD+FWeR+qKknkgFYLBZ69uzpeKS+x+D+LOY41ShAPyqQ55OjREVFmZzyj1xdXZkyZQr79u2jbt26ANy6dcvkVGKmuR/OJ/hsA/AsaxSuRdCvwn78OncyN5iIiIg8Ei8vL+60r0YcSQB0pgwLps0yOVXmZLfb2blzJ82bN6dUqVIsWrSIxo0bc+fOHcB4qi0j3cxPLRaLhUGDBrFhwwbOnDlDbGxsml8zNjaWBu1GE1d1uqOW49A7bFs2Ck9PzzS/vkh6UFNPJAMqWbIkx+oXwobxKH7P5DIs/HC+yan+3rPPPgvAsmXLKF++PIcPHzY3kJhix44d9FseD96NjUL8VerEBzBjyjhzg4mIiEiq6Pb2AD7CeFovN+64LN2bITY/yCySkpIcf37rrbf48ccf+eCDD/jll1+YPHkyuXLlMjFd+mnUqBFHjx6laNGiXL16lR07dqTJdWw2Gy07DeJ0qWng+tsTj8c+YPWExpQpUyZNriliBjX1RDKoN0f0ZR0/A1CMXJybsfoPg4GMpl69euTPn59atWrx+eefmx1H0tHp06dpOvhz7BUGGgVbEt7H/VmzPBBXV1dTs4mIiEjqeOqppzhQM6/juGdiaRYvDDYxUeZw8eJFRo8eTdGiRTl69CgWi4Vt27YRGRlJz549yZkzp9kR093d8eGMGTNo0KABc+bMSfU1uoePfp8tlt7gUcgoXPiKgBYpNGzYMFWvI2I2NfVEMqh69eqx9ol701k7xBTN0M2yYsWKsWvXLpo1a0bLli0ZO3YsNpvN7FiSxmJjY3mp/Rjiqkxz1HIcHMr25WM0rUFERMTJNB/Zm838AkBJ8vDD1FXpvulBZhEeHk67du0oUaIEgYGBtG7dGi8vY83hIkWKOOUU2wc1btw4+vXrR79+/ejVqxeJiYmp8r4rVqxkyr5ykL+qUbh5iraPr2bQgL6p8v4iGYmaeiIZlMViocaIzkRwDYAaPM7W8UEmp/rfPDw8WLFiBe+//z6bN2/O0E8WyqOz2Ww07ziQ06UCHNMaLMfmsmbSy5QuXdrkdCIiIpLaGjduzGdFYhzHb14pyLp160xMlLEkJSU51sZbvnw53377LVOmTOH8+fPMnj0bb29vkxNmLNmyZWPGjBkEBwezePFiXn755Ud+KCA8PJyOM45DqdZGIfEmVa68x6IPpqqRKk7JYk/t51xFJNXEx8czvMDzBMYZG2h8zElK75vkWMcuI0tKSsLNzY3vv/+ePHnyULx4cbMjSSobMvxdAk68BvmrGIUL25n+0g+6CyoiIuLE5syazUsDdlMWTwC6Vj9L8P7N5oYyWVRUFEFBQXzwwQcMGjSIwYMHc+vWLXLkyKGlSO7TN998w/Hjx+nSpctDv8elS5eo0GwM16otMAp2GwUOduX7DZMpWLBgKiUVyVj0pJ5IBpYjRw7yvPUSURh3/N6gFEsnZo6dxtzc3ADo27cvzzzzDN98843JiSQ1Lf84hIDwCvcaejd+on3htQzs38fcYCIiIpKmOvl1ZkH2U47jGuF3OHr0qImJzHPixAm6deuGt7c377//Po0bN6ZxY2PTsFy5cqmh9wBq1arlaOiNGzeO1atXP9DP37lzh4Zvvs21SoGOmtuhd9mycIAaeuLU1NQTyeB6DOjDQsuPALjhQpE1J7l48aLJqe7fp59+StmyZalXrx6LFy82O46kgv379+M36xSUbGUUEm9S9epYgudqWoOIiIizy507N25dn+cGxvpn7fgPwZNnmpwq/aSkpHDlyhUATp06xaZNmxgzZgy//PILCxcupHz58iYnzNxSUlKIiIjg9ddf57///e99baBht9vp0GMw3xcdD26/bTxychkrhlXBx8cnbQOLmExNPZEMrlixYpxrWpJkjPUlutvLsmD2Byanun8FChRg27ZtdO7cmS5dujB27FizI8kjuHjxIo16BZHsM9oo2G0UiBjAxhUBuLu7mxtORERE0kV3/34s4jgAOchG3lVHuXr1qsmp0taNGzcIDAykTJkytGvXDoBGjRpx5swZhg8fTv78+U1O6BxcXV1ZtWoV7733HqNHj6ZNmzbcvn37f/7MpKnT+ex6a8hdwihc2ceouudo0aJ5OiQWMZeaeiKZQIfh/fmMMwAUJAfRczc5FuHNDNzd3Zk/fz6zZs2ibt26ZseRhxQfH0/DtkOJqRzoqLkdHsPW4IGa1iAiIpKFlCxZkh8bFMaG8RRVj5QyLPxwvsmp0sbVq1fp378/xYoV4+233+a5555j/PjxALi4uDiWnJHU4+Liwrvvvsunn37KunXrmDhxImA8kTd//nzCw8Md565fH8qIlTEQ8wPY7RB3AV+3YMaOHm5WfJF0pY0yRDIBu91Ot/L1CP6hLACHieJQsC9+j7CQrJlSUlIYMGAA/fv3p0yZMmbHkftgt9tp1aEPn9veuXcX9MRHfN4vN82bv25uOBEREUl3X3/9NTdenMRrPAHAW14HmfXrHqdoctntdk6cOEHZsmW5ceMGVatWpW3btrz11lsUKVLE7HhZyvfff0/JkiXJkSMH/fv3Z86cOeTImYttWzbj6emJT/PxJJ1eC0m3oHx/Sue9yqEtC8iZM6fZ0UXShZ7UE8kELBYLL47oxncY63f4kJ/dExbf1xoTGVFUVBTbt2/n2WefZcuWLWbHkfswYXIAn8e2vdfQ+3Uvo+udV0NPREQki3rhhRdYX/LetMiOMUX57LPPTEz06G7fvs38+fOpUKEC1atX5+bNm+TNm5eTJ0/y/vvvq6FnggoVKpAjRw66du3KnDlz4LlpJOStSoOXGlGjiZ/R0MtfFZ6bBpGzqPt0Tjw8PMyOLZJu1NQTySRavfEGSz3PO459T+UgLCzMxEQP7/HHH2fv3r3UrFmTJk2aEBgYmGkblFnB2rXrGLXpMShU2yjcOk+z7Is1rUFERCQLs1gs1BjeiSNEA1CDx9k6PsjkVA/HZrMxbNgwihUrRu/evSlbtizr168nd+7cgDEdVMwTFBRkbLj33DSoNBhbow3E5/Hh5rnvjIZe4w1QaTA8N42FCxcSFJQ5/38o8jD06SSSSbi7u1OkfzMuEgfAq5QgZMJsk1M9vLx587Ju3Tr8/f0ZNGgQGzZsMDuS/I3IyEhajdsNZX+b6p0cT9mf32Hlohna6VZERCSLa9uuHYtynnUc14+0sG/fPvMCPQC73c7evXux2Wy4uLhw+vRpunTpwqlTp/jiiy+oW7euxjoZRLVq1ciRMxcu59ZCUpyxw22TTVB7ntHQc8sJSXG4nFtLjpy5qF69utmRRdKN1tQTyUSuXLnCB0V8eS+lKgABHKXFmRU88cQT5gZ7RDt37qROnTpYLBbu3LlD9uzZzY4kQHR0NBUa+3PZZxG4uAKQN7wnEatH4e3tbXI6ERERyQjeHTqCflMvkJ/sJGFjwKu3+WD1x2bH+kcJCQmsWrWKmTNncvDgQbZt20b9+vXNjiX/Ys+ePTRo2Ig7eapgb7zRaOTdlRSHy+aXsd44yLYtm6lZs6Z5QUXSmZ7UE8lEChYsyLWWFUggBYCulCVoeuZ9Wu+uu3dC169fT7ly5Th8+LDZkbK8pKQkfNsO4nL5QEdDz+XIJDbO6ayGnoiIiDj0GNCHBZbjALjhQtG1P3HhwgWTU/29Dz74gBIlStCpUycKFizIxo0bqVevntmx5D7UrFmT7l27YL+0C04u/+OLJ5djuxjGlEkT1dCTLEdNPZFMpsuwAYTwEwCeWElYsJNbt26ZnCp1+Pj4kC9fPmrVqsXnn39udpws7a0Bw9nnORKsXkbh7GoW9ipMjRo1zA0mIiIiGUrRokX5pVlJkrAB0N1elgWzPzA51T0HDhzgl19+AYwpty1atOCHH35g48aNNG7cWOvlZRKfffYZs+bOh8J1oHT7P75Yuj0uReowdNhw9uzZY05AEZPoE0wkk/Hx8WF3VXfHcfc7pfhoyVITE6WeYsWKsWvXLpo1a0bLli0ZO3YsNpvN7FhZztwP5xN8tgF4ljUK1yLoV2E/fp07mRtMREREMqSOw/vzGacBKEgOrs3dzJ07d0zLk5yczKeffkrt2rWpXr26Y+OEPn36MHfuXMqVK2daNnlwO3fu5I0320GB//vDGnocm+9YY8/WaIOxK27DRhw4cMDsyCLpRk09kUzId2QvdnIRgHJ4cnDycqdpfnl4eLBixQref/99Pv30U27fvm12pCxlx44d9FseD96NjUL8Veremc6MKePMDSYiIiIZ1nPPPce2p++NRbvcKkHIx+asq7dp0yZKlizJG2+8gaurK59//jnvvvuuKVnk0dlsNt4aOBJ7SiI88cq9TTE2N4HdvXDZ/PK9xl7xV4iPu0V4eLjZsUXSjZp6IpnQq6++SkiBXx3HLc57smXLFhMTpS6LxcKoUaMIDw8nV65cnD59mnPnzpkdy+mdPn2apoM/x15hoFGwJeF93J81ywNxdXU1NZuIiIhkbPVHdmcfVwDwIT+7JywmvfZkjIyMJCwsDDCmA9evX59Dhw6xc+dOmjdvTrZs2dIlh6S+4aPf54cnZ0JFf9g7BI4GYNnUBOuNQ8yePRvrjYNGY+9oAOwdgr+/Pz169DA7tki60e63IplUwJSptHjnEE+QG4DutS+yYNc6k1OlDV9fX8LDw/nyyy+1+G0aiY2NxafRW5x+OhhcrQDkCB/EkZW9KV26tMnpREREJKNLTExk0OO1mHu9KgBfcIbHvh7BCy+8kCbXs9lsbNiwgZkzZ7Jt2zbq1avHV199lSbXEnOsWLGStsEWKNUa7HYI6wbHF5EjZy7HLrd3d8WNj7uFv78/06ZNw2KxmB1dJN3oST2RTKpL924EuZ1wHPvsjuHHH380MVHaWbJkCWXLluWFF15g8eLFZsdxOjabjeYdB3K6VICjoWc5Npc1k15WQ09ERETui7u7O0UHvMJF4gB4lRKETJidJtc6deoUZcuWpVmzZty4cYPly5ezadOmNLmWmCM8PJyOM44bDT2ApFh8iiQwe/Zsdu3c4bjRX7NmTXbt3MG8efPU0JMsSU09kUzKy8uLhA7PEEcSAJ0ow8Jps0xOlTYKFCjAtm3b6Ny5M126dGHUqFFmR3IqQ0eOZZtLX/B43Chc2E5ASzsvvfSSucFEREQkU+nepxdBrsZNZ1dcKLv1ImfOnEmV9z516hTBwcEAlChRggYNGrBnzx727dtHu3btcHd3/5d3kMzi0qVLNOo1n+Qqv62FaLdRIGIAm1dOp2/fvlSrVu0P51erVo2ePXuqoSdZkpp6IplY97cHsBRj4JQLN9yWfcf169fNDZVG3N3dmT9/PrNnz/7LF7k8vOUfhxAQXgHyVzEKN36ifeG1DOzfx9xgIiIikukUKFCAmDcqcIdkALpSlqDpD/+0nt1uZ/v27bzyyiuULl2aESNGEBsbS7Zs2fjwww+pUaOGGjlO5s6dOzR8822uVQp01NwOvcuWhQMoWLCgecFEMig19UQysXLlynGwlqfjuEdiaRYtWGheoDRmsVjo27cvr7/+Ona7nZEjR3LixIl//0H5W/v378dv1iko2cooJN6katRYgudO1QBZREREHkqXdwYQwikAPLGSuDCMW7duPfD7pKSk8Oyzz9KgQQPOnDlDUFAQZ8+eJXfu3KkdWTIIu91Oh+6D+b7oeGOXW4CTy1gxrAo+Pj6mZhPJqNTUE8nkWozswyZ+AeBJ8nB86qekpKSYnCrtXbt2jS+++IJnn33WqXb+TS8XL16kUa8gkn1GG4XfpjVsWjFd01dERETkoVWuXJlvqlmxY2c+x6hxx4uli5c4Xg8PD2f+/Pl/uzPu+fPnGTNmDLdv38bV1ZVOnTqxfft2jh49Srdu3ciRI0c6/k0kvU2aOp3PbrwJuUsYhSv7GFX3HC1aNDc3mEgGpqaeSCbXqFEjPi8a4zhuc7Uga9euNTFR+siXLx979+6lZs2aNGnShJkzZ/7t4FD+Kj4+noZthxJTOdBRczs8hq3BAylQoIB5wURERMQp+I7oSWu204vd+LGTTePmYbPZ2LNnD/XqvECvXr0YMmQIdrsdu93Ot99+y5tvvskTTzxBYGAgR44cAaBv3768+OKLmkGQBaxfH8qI0LxQ+HmjEHcBX7dgxo4ebm4wkQxOTT2RTM7FxQWfd9pxnOsAvEARQsfPMzdUOsmbNy/r1q3D39+fgQMH8umnn5odKcO7O60hssjvpjWc+IiVw6pRuXJlc8OJiIhIpme329m1axefcpppPEdV8vNV1I/07duXRg0aUjUhL9N4junTpzNkyBB69uxJzZo1OXDgADNmzODChQvUqFHD7L+GpKNjx47R8r2dUK6bUUiOp8zZoaxaPAMXF7UsRP4Xi12Ptohkerdu3eK9Ai8w7Y6xgcQijlP1UGCWWnti8+bNNGjQAFdXV5KSknBzczM7UoY0ftI0Rn37HBSqbRR+3cvoql8xbswIc4OJiIiIU5g/fz69evViGs8xmErEkcTLbCKMS9RxKcIGWyNy4kYARxnCXgYNGkT9+vVp0qSJGjhZUHR0NBWb+HOp8iJwcQUgT/hbRHw5nOLFi5ucTiTj06emiBPIlSsXbt3qcJ0EANpSisVTZpmcKn01atQIV1dXwsLCeOqppzh8+LDZkTKctWvXMWrTY/caerfO0yz7Yk1rEBERkVRTrVo1cuXIyVqXc8SRRE7c2EBj5lHb0dCLI4k1lp/JlSMn7dq1w9fXVw29LCgpKYmm7fy59HSgo6HncnQyG2d3UENP5D7pk1PESfTw70cwxwHITja8PvmeK1eumJwq/ZUsWZK8efNSq1YtPv/8c7PjZBiRkZG0GrcbynYxCsnxlD03jJWLZmidGhEREUk11atXZ/O2LRy03qCxZZOjsdeTpx0NvZddNnMo+002b9tCtWrVzI4sJuk9cAR78w4Hq5dROLuGBT0ep2bNmuYGE8lE1NQTcRJPPvkkJxoWJQUbAD1SyrBgbtZYW+/3ihUrxq5du2jWrBktW7Zk7Nix2Gw2s2OZKjo6mgadp5BYZYKjlvfwQLaGTMTDw8PEZCIiIuKMatasycQpk9htv8RyTv7hteWcJMx2kYlTJql5k4V9OC+IhadfBM9yRuHa9/Qtv48ufp1NzSWS2WhNPREnsnPnTqJfGE9zngSgd94DBF7Zg7u7u8nJ0p/dbmf8+PEsXLiQgwcP8thjj5kdyRRJSUk837Qr+wrPdNwFdTkyid0z6moRahEREUkTe/bscWyKcXfK7V13n9Q7aL3B5m1b1NjLgnbu3Em94QewV/Q3CneieD56CF+tXki2bNnMDSeSyaipJ+JE7HY73UrXIfjU0wDs4wo/LW9Ju3btTE5mnlu3bpErVy4uX75MYmJillufo1vvIQRHdwfPskbh7GoWtbmBX+dO5gYTERERpxQeHk69Oi/8oaEXRxLLOUl7Sv9hCu5B6w127NqpKbhZyJkzZ6jYYhpxz8w1CrYkvI925ejmWXh6epqaTSQz0vRbESdisVioPcKPw0QB8H8UZPv4BWTl3n2uXLkAGDBgAM888wx79uwxOVH6mfvhfILPNrjX0LsWQb8K+7NUQy8qKoqlS5cSGBjI0qVLiYqKMjuSiIiIUztw4AC34uN4xVbc0cBrzEZ6sZuXubfG3iu24tyKjyM8PNzsyJJOYmNjadBuNHFVpztqOQ69w7Zlo7JUQ0/jU0lNelJPxMncuXOHoQVrMyvWuOO5klOU2PN+lp9qefXqVVq0aMG+ffuYN28efn5+ZkdKUzt27ODFkYexVxhoFOKvUjdmKNtXL8TV1dXUbOkhJiYGf39/QkJCSExMdNStVitt2rRhxowZWWrwKCIikl7sdjtDhgxh+vTpTOM51rqc4zvXKAYnlWcm31OV/LxCCYawF39/f6ZNm6ZNu7IAm81Gk5Y92JLzv+BRyCge+4DNo/9Dw4YNzQ2XTjQ+lbSgpp6IExo7fBRvTTpHQXKQjI3+zW7xwdoVZscyXWJiIn379mXBggW88847TJo0yexIaeL06dNUahVIXPVZRsGWhPfRLkRsmUPevHnNDZcOYmJiqFu3LhEREQD4kI+n8OQY1zlCNAAVK1YkLCxMAycREZE08PvGXq4cOVm9bg0bmr1Di/iiNGIjt0iiffv2fPTRR2roZRFvj3iPacdfgfxVjcKFrwhoEIn/wH7mBksnGp9KWtH0WxEn1L1fbxZYjgOQDReKrz/N+fPnTU5lPnd3d+bPn8+sWbMoU6aM2XHSRGxsLA3av0tclWmOWo6Db7N9+Zgs0dAD8Pf3JyIigsJ4EEYzDtGCEOpzmBaE0YzCeBAREYG/v7/ZUUVERJySxWJh2rRpzJs3jx27dlK/fn2s3V/gKbzYQVNmU4u8CS5q6GURISErmPbd0/caejdP0a7QGgYN6GtusHSk8amkFT2pJ+Kk+rzensDVOXDDhSjuMGtIEcZNnWh2rAxnypQpvPbaa07R5LPZbDRq0Z1tuSaAx+MAWI7NZfOYMrz00ksmp0sfUVFRFC1alMTERMJoxvMU/ss5u7hEHdZhtVo5f/48+fPnNyGpiIhI1vLzzz/z6RNvMoRKALznepC3Lqzn8ccfNzmZpKXw8HBq9A4lucq7RiHxJlXO9eHbDQuxWq3mhksnGp9KWtKTeiJOqtPw/nzCKQDyk52bH24lPj7e5FQZS2xsLIsXL+b//u//2LJli9lxHtnQkWPZ5tLX0dDjwnYCWtqzTEMPIDQ0lMTERHzI97cDJoDaFKIy+UhISCA0NDSdE4qIiGRNJUqU4KfGxUjBBkDPlHIsmDvP5FSSli5dukSjXvPvNfTsNgpEDGDTioAs09ADjU8lbampJ+Kknn32Wb6qcO+4a9yTfLx8uXmBMqDcuXOzd+9eatSoQZMmTZg5c2am3Sl4+cchBIRXgPxVjMKNn2hfeC0D+/cxN1g6i4mJAeApPP/xHAsWx+t3zxcREZG013Z4P1bzMwCF8eDSrHV/2DBAnMedO3do+ObbXKsU6Ki5HXqXLQsHULBgQfOCmUDjU0lLauqJOLGXRvbgW34FoCKP8e2EJZm2aZVW8ubNy7p16/D392fgwIEsXbrU7EgPbP/+/fjNOgUlWxmFxJtUjRpL8NypWW6tGi8vLwB+4Po/nmPH7nj97vkiIiKS9p5//nk2/OeO47jTDW8+WbXKxESSFux2Ox26D+b7ouPBLadRPLmMFcOq4OPjY2o2M2h8KmlJTT0RJ9aiRQuWeV1wHL9yNhdff/21iYkyJldXV6ZOncqaNWto06YNACkpKSanuj8XL16kUa8gkn1GGwW7jYIR/dm0Yjru7u7mhjOBr68vVquVw0Szi0t/e85uLnOEaKxWK76+vumcUEREJOuyWCw8P8KPQ0QB8CwF+WpCsG46O5mJUwL47MabkLuEUbiyj1F1z9GiRXNzg5lE41NJS2rqiTgxNzc3ig96jfPcAqAZJVg1YY7JqTKuV155xfjCPXyYihUrcvjwYbMj/U/x8fE0bDuUmMqBjprbodFsCR5EgQIFzAtmovz58zsas63Zzi4uYcf4RcGOnV1cojXbAWjbtq0WIRYREUlnb7Zpw6LcPzuOG/6YjW+//dbERJKa1q8PZeQGLyj8vFGIu0BT90WMGzPC3GAm0vhU0pJ2vxVxclFRUcwq3IRxycYW8oFE0OynZZQqVcrkZBnXL7/8wmuvvcaPP/7IRx99RIsWLcyO9Bd2u51WHfrwue2de3dBT3zE5/1y07z56+aGM1lMTAx169YlIiICgMrk4yk8+YHrHCEagIoVKxIWFoanp6eJSUVERLKmcSNG02vizxQkB8nY6Nc0lg/XrTQ7ljyiY8eOUbXjEhKqTTEKyfGUOd6Ng5uDyJkzp7nhTKbxqaQVPakn4uTy58/PzdaViScZAD/KsmD6bJNTZWze3t7s2rWLpk2b0rJlS8aOHYvNZjM71h9MmBzA57Ft7zX0ft3L6Hrns3xDD4x1SMLCwvDz88NqtXKEaFZyyjGlwc/PTwMmERERE3Xv15sFLscByIYLJULP8Msvv5icSh5FdHQ0DTpPJqHKREctz2F/toZMzPINPdD4VNKOntQTyQIiIiLYV6kv3SgHwNvZDzDmytfkzp3b5GQZm91uZ/z48cyaNYsjR45QuPDfb0Gf3tauXcer069C2S5G4dZ5mqW8z5oV87Lcxhj/JioqitDQUGJiYvDy8sLX11dTGkRERDKAvi06MP0LK+64EsUdZg4uzPvTJpkdSx5CUlISdZp1Y2+hQLAamzy4HJ3MroDnqVmzprnhMiCNTyU1qaknkkV0fbYxwfuNp7pOcJ3NgbXoN6C/yakyh7tfuNevXyc2NhZvb2/TskRGRlK100ckVptsFJLjKXuiOwc3B+Hh4WFaLhEREZEHsX//fo4/+w7tKQ3AAI9wJl7dpfFMJtS9z9ssjOoKnsYDBJxdQ/CbMXTx62xqLpGsQNNvRbKIV0a+xVcYO+GWwZOIKSsy3JTSjOrutvJDhgyhevXq7Nmzx5QcxrSGqSRWmeCo5T00kK0hEzUAFhERkUzlmWee4euK92YYdLtdko+XLzcxkTyMD+cFsfD0i/caetci6Ft+nxp6IulET+pJhqJHkdNOSkoKbxWpSdAVHwC2cJ6k9b21ZfoDuHr1Ki1atGDfvn3Mnz+fzp07p9u1k5KSeL5pV/YVngVWTwBcjkxk94wXqFGjRrrlEBERyWo0Pk07q1atwvvNEGpSCIAuJb4n+MxuLSeSSezcuZN6ww9gr+hvFO5EUSd6CF+tCcbV1dXccCJZhJp6kiHExMTg7+9PSEgIiYmJjrrVaqVNmzbMmDFDi4amgsCA6bwyZD8lyQNAtxrnWbgn1ORUmUtiYiJ9+/ZlwYIFDB48mGnTpqXLdbv1HkJwdHfwLGsUzq5mUZsb+HXulC7XFxERyWo0Pk17SUlJ9H+8Jh/GVAVgDWfJtW0o9evXNzmZ/JszZ85QscU04p6ZaxRsSXgf7crRzbP034VIOtL0WzHd3e29lyxZYgyY8vlAqTaQrzIJCQksWbKEOnXqcP36dbOjZnp+3boS5H7ScVz925scO3bMxESZj7u7O/Pnz2fWrFk8/vjj6XLNuR/OJ/hsg3sNvWsR9KuwXw09ERGRNKLxafpwc3PjCf/XOc8tAJpRglUT5picSv5NbGwsDdqNJq7qdEctx6F32LZslBp6IulMT+o5kcw6NcDPz48lS5aAR2GovwoKP3/vxUu7YHtruH0JPz8/Fi1aZFpOZ/F2j76MWRBHbty5TTKjOmVj+pL5ZsfK1IKCgnjhhRcoU6ZMqr/3jh07eHHkYewVBhqF+KvUjRnK9tULNa1BREQyPI1P5d9ER0cTWKgx7ycbT+sFEkGzn5ZRqlQpk5PJ37HZbDRp2YMtOf8LHsa0aY59wObR/6Fhw4bmhhPJgtTUcwKZeWpAVFQURYsWNXI3C/vjgOmuS7tgXR2sVivnz5/PFAPBjOzEiRNsLutHPyoAMDLbAQb/uoXHHnvM5GSZ0507d6hWrRoXL15k1apVqTqYOX36NJVazSCu+myjYEuieERXjm6eTd68eVPtOiIiIqlN41N5EAM7dGfichs5yMYNEpnwVh4mfzDT7FjyN94e8R7Tjr8C+Y0mLBe+IqBBJP4D+5kbTCSL0vTbTC6zTw0IDQ29l/vvBkwAhWo7/j6hoVr/7VGVKVOGo3XuDTx7JpcleP4CExNlbtmzZ2fPnj3UqFGDJk2aMHPmTFLjXokxreFd4qoEOGo5Dr7NtmWj1dATEZEMTeNTeVBdh/ZnOcYSMXlxx7ZoNzdv3jQ5lfxZSMgKpn339L2G3o2faFdoDYMG9DU3mEgWpqZeJufv709ERIQxNaBZGLQ4BPVDoMVh49ijMBEREfj7+5sd9W/FxMQYf/B86p9PslgcrzvOl0fSamQfQjkHQHFycSrgc5KTk01OlXnlzZuXdevW4e/vz8CBA/nwww8f6f1sNhvNOw7kzH+mgas7AJbIOayZ5Evp0qVTI7KIiEia0fhUHlTFihXZ92xOx3H3hP+wZNFiExPJn4WHh9Mp8ASUesMoJN6kStRYFn0wVbsVi5hITb1MLCoqipCQEOPgz2t9gHFcfxUAISEhREVFpXPCf+fl5WX84foP/3yS3e543XG+PJKXXnqJL71vOI7bRRdi9erV5gVyAq6urkydOpVPP/2U9u3bAzz0E3tDR45lm0tf8PhtI44L2wloZfx7ExERycg0PpWH9crIt9jOBQDK4EnElBXYbDaTUwnApUuXaNRrPslV3jUKdhsFIgawKSQAd3d3c8OJZHFq6mVizjA1wNfXF6vVCtGHjbVJ/s7l3RB9BKvViq+vb7rmc1YWi4XqwztwDOPO8vMUZuN4bZaRGlq2bEmePHn46aefqFatGkeOHHmgn1/+cQgB4RUgfxWjcOMn2hdey8D+fdIgrYiISOrS+FQelq+vL6sev+o4bnUpHxs2bDAxkYCxfnTDN9/mWqVAR83t0LtsWTiAggULmhdMRAA19TI1Z5gakD9/ftq0aWMcbG9tDJzuPt1kt9/bXQxo27atFiFORR06dmRhjtOO4zqHkzl48KCJiZyL1WrFYrFQs2ZNPv/88/v6mf379+M36xSUbGUUEm9SNWoswXM1rUFERDIHjU/lYbm6ulJ+6JucwlhLryHF+HL8Byanytrsdjsdug/m+6Ljwe236dEnl7FiWBV8fHxMzSYiBjX1MjFnmRowffp0KlasCLcvwbo68EUV2N7G+N91deD2JSpWrMj06dPNjupUcubMSY4e9YghAYA3KcXiSdplLLV4e3uza9cumjZtSsuWLRk7dqxjCondbmf+/PmEh4c7zr948SIvdvgvye4Fjf9u7TYKRvRn04rpmtYgIiKZhsan8ig6d+1CkPtJx/Eze2OJjIw0MVHWNnFKAJ/deBNylzAKV/Yxqu45WrRobm4wEXFQUy8Tc5apAV5eXoSFheHn5/fb3+cInFrpyO3n50dYWBienp5mR3U6PQb1ZSHHAbDiSoEvfuDXX381OZXz8PDwYOXKlbz//vsEBATw888/Y7fbGTJkCL169aLOC/XYs2cP8fHx1H65M7dOfQW7e8HeIWQ7OIqti/wpUKCA2X8NERGR+6bxqTyKvHnzYu9cg1gSAehIGRZOmWVyqqxp/fpQRm7wujeNPu4CTd0XMW7MCHODicgfWOwPu5K7ZAh+fn4sWbLE2F2s/ipjjRKLxbgDenm3MTXg9iX8/PxYtGiR2XH/VVRUFKGhocTExODl5YWvr6+mNKSxt3xbM3tDHrLhwmVus3BUKUa9/57ZsZzOlStXKFCgAAMHDmTWrFnw3DRczq3FeuMgZZ7y4cjhQ1CgGpR4BfYOoVmzZqxZs0bTbkVEJNPR+FQexcmTJ9lYpjP9qQDAyGwHGPzrFh577DGTk2Udx44do2rHJSRUm2IUkuMpc6I7BzfNJ2fOnP/7h0UkXampl8nFxMRQt25dIiIijEK+ysYaJdd/MO4oYmwRrzuJ8k92797NpefH0oqSAPTJfYDpV78x7kpLqpo/fz69evWC56ZBpcGQFIdlUxPsl3ZB4TrQeIOxXsnRANg7hHnz5tGzZ0+zY4uIiDwQjU/lUfV48TXmfV0QFyyc4xYrx1dk6IhhZsfKEqKjo6nYxJ9LlReBiysAecLfIuLL4RQvXtzkdCLyZ5p+m8lpaoA8qlq1arGpTKLj2C+2OKtWrjQxkfOqVq0aOTxywdnVkBQHbjmxN94Itefda+glxeFybi05cuaievXqZkcWERF5YBqfyqN6Y0RfQjkHQHFycWb6FyQnJ5ucyvklJSXRtJ0/l54OdDT0XI5OZuPsDmroiWRQelLPiWhqgDysj5YupXznNVTDWL+tS5kfCf5xh6Z+poE9e/bQ4KVGxOfxgSab7u0kBkZDb/PLWG8cZNuWzdSsWdO0nCIiIqlB41N5GHa7ne5P1mbhz8YU3N1c5tIn7WnVqpXJyZxb9z5vszCqK3iWMwpn1xD8Zgxd/DqbmktE/pmaeiJCQkICQwrWZvbNqgB8wimK7HqP2rVrm5zMOU2ePJlhw4YZT+g9/bvptcfmw+5ezJ49m759+5oXUERERMRkQfPnU7PXNipgrKXXtfIpgg9vMzmV8/pwXhC913hD8SZG4VoEfb1XMHv6BHODicj/pOm3IoLVaqVgv5e5zG0AmvMkyyfONjmVcwoLC2PEyDFQqA6Ubv/HF0u3x6VIHYYOG86ePXvMCSgiIiKSAbTv0IFgjzOO47pHUjhw4ICJiZzXzp076fPRrXsNvTtR1IkPIHDq++YGE5F/paaeiADQve9bLHA5DkA2XCi58WfOnTtncirnEh4ezosNGmIr8Bw0ubeGHsfmO9bYszXaQELeqjRo2EgDVxEREcmyPDw8yNWrPtHcAeBNSrFk0kyTUzmfM2fO4DvoE+wV/Y2CLQnvH/1ZszwQV1dXc8OJyL9SU09EAChUqBBXmpcjkRQAutnLEjRjjsmpnEvA9BmkJCXAE684GnqWTY1hdy9cNr98r7FX/BXi424RHh5udmQRERER0/QY2Jdgi3HT2R1XCn7xI5cuXTI5lfOIjY2lQbvRxFWd7qjlOPQO25aN0kY2IpmEmnoi4tB52ABWcgqAx8hOXNBXxMXFmZzKOezYsYOVZ6tDRX/YOwSOBsDGxmS/cZjZs2djvXHQaOwdDYC9Q/D396dHjx5mxxYRERExjbe3N2deLkEyNgB62MqyYM6HJqdyDjabjZadBnG61DRwtRrFYx+wekJjypQpY244EblvauqJiEO1atXYWfneY/bdbj/J8mXLTEzkHE6fPk3TwZ9DxUHw3DSoMBD2DiHHzcNs27qZvn37sm3LZqw3DjoaetOmTdPuwyIiIpLltR/eny8w1tZ7HA+uzN5AQkKCyakyv3dGjWOLpTd4FDIKF74ioEUKDRs2NDeYiDwQNfVE5A8aj+zJbi4DUJ7H2D9xGdok++EZ0xreJa5KgFGwWMjuZmPcuHHsCttBzZo1AahZsya7du5g3rx5auiJiIiI/KZmzZpsLpvkOPaLLc7KFStMTJT5hYSsYNp3T0P+qkbhxk+0K7SGQQP6mhtMRB6Yxa7f1kXkd5KTk+lXqCYfRlcBYD0/Y90ymJdeesnkZJmPzWajUYvubMs1ATweB8ASOYfN75bVP08RERGR+7Tso494qtNqqlMAgC6lfyD4+E7dBH0I4eHh1OgdSnKVd41C4k2q/NKHvRuCcXd3NzeciDwwPaknIn+QLVs2nvRvzjluAdCUEnw6QRtmPIyhI8eyzaWvo6HHhe0EtEINPREREZEH8Ebr1izJc85x3OSkld27d5uYKHO6dOkSjXrNv9fQs9soEDGATSEBauiJZFJq6onIX3Tr1YOgbCccxxV2RHHy5EkTE2U+yz8OISC8AuQ3nnjkxk+0L7yWgf37mBtMREREJJOxWq0U6t+Uy9wG4HWe4OOJs01OlbncuXOHhm++zbVKgY6a26F32bJwAAULFjQvmIg8EjX1ROQvHnvsMeLaVuU2yQD4UYYF02aZnCrz2L9/P36zTkHJVkYh8SZVo8YSPHeqpomIiIiIPITufd8iyPU4ANlwoeTGc/z8888mp8oc7HY7HboP5vui48Etp1E8uYwVw6rg4+NjajYReTRq6onI3+o2tD/LMJ7Oy407liXfcuPGDZNTZXwXL16kYa/5JPuMNgp2GwUj+rNpxXRNaxARERF5SI8//jhXmz9FAikAdKMsQTO0RMz9mDglgM9uvAm5SxiFK/sYVfccLVo0NzeYiDwyNfVE5G+VL1+e/c/lchz3SCzNkuBFJibK+OLj42nY5m2uV57pqLkdGs3WRf4UKFDAxGQiIiIimZ/fsAGs5BQAj5Gd20FfERcXZ3KqjG3duvWM3OAFhZ83CnEXaOoezLgxI8wNJiKpQk09EflHr43szVbOA1CKPEROWUlKSorJqTImu91O++6DiSw28d60hhMfsXJ4dSpVqmRuOBEREREnULVqVcJ8sjmOu8WXZNlHH5mYKGM7duwYrcaGQbmuRiE5njI/v8PKRTO0JIyIk1BTT0T+0csvv8ynhaMdx61/LUBoaKiJiTKuCZMD+CK2LeQqbhR+3cvoeudp3vx1c4OJiIiIOJEmI3uyi0sAlOcx9k9cht1uNzlVxhMdHU2DzpNJqDLRUctz2J+tH08gZ86cJiYTkdSkpp6I/CMXFxcqDG3DSYy19OpTlLXjPzQ5Vcazdu06Rm16DArVNgq3ztMs+2LGjh5ubjARERERJ/Paa68Rkv+y4/j1X/KwdetWExNlPElJSTRt58+lpwPBxRUAl6OT2Ti7A8WLFzc3nIikKjX1ROR/6tzFjwXWnxzH//ddHBERESYmylgiIyNpNW43lO1iFJLjKXtumKY1iIiIiKSBbNmyUdK/BT8TC0BTSvDphLkmp8pYeg8cwd68w8HqZRTOrmFBj8epWbOmucFEJNWpqSci/1OePHmw+NXiJokAtKc0i6bMMjlVxmBMa5hKYpUJjlreQwPZGjIRDw8PE5OJiIiIOK+uPbsTlO2E47jizihOnDjxP34i6/hwXhALT78InuWMwrUI+pbfRxe/zqbmEpG0oaaeiPyrHkP6s5jjAOQgG7lWHiYqKsrkVOZKSkrCt60/l8sH3pvWcGQiG+d2xtvb29xwIiIiIk7sscceI75dNW6TDIAfZVgwTTedd+zYQZ9lcVC8iVG4E0Wd+AACp75vbjARSTNq6onIvypVqhSRLz6ODWMR4p7JZQieF2RyKnO9NWA4+zxHgNXTKJxdzcJeRahRo4apuURERESygm5DB/ARxtN5uXHHZelebty4YXIq85w5c4amgz/DXmGQUbAl4f2jP2uWB+Lq6mpuOBFJM2rqich9aT2iL+s5B0AxcnF2+pckJSWZnMoccz+cT/DZBuBZ1ihci6Bfhf34de5kbjARERGRLOLpp58mvEYex3GPxNIsXhhsYiLzxMbG0qDdaOKqBDhqOQ69w7Zlo/D09DQvmIikOTX1ROS+vPjii6x94pbjuENMEb744gsTE5ljx44d9FseD96NjUL8Veremc6MKePMDSYiIiKSxbw+sjdbOA9AKfIQOWUVKSkpJqdKXzabjZadBnG61DRwtRrFYx+wekJjypQpY244EUlzauqJyH2xWCz83/CORHANgJoUYsv4rDUF9/Tp0zQd/Dn2CgONgi2J4icGa1qDiIiIiAmaNGnCZ0WuOY7fvFKA9evXm5go/b0zahxbLL3Bo5BRuPAVAS1SaNiwobnBRCRdWOx2u93sECL3KyoqitDQUGJiYvDy8sLX15f8+fObHSvLuH37NiMK1CHwdjUAlnOSst9N5plnnjE5Wdq7efMmPo36cKZ8MLi6A+ARPojDK3tTunRpk9OJiIiIWTQ+NdfsmbNoNPAbyuAJQNdnfib4u03mhkonISEraLfIFUq9YRRu/ES7XLNZtiAQi8VibjgRSRdq6kmmEBMTg7+/PyEhISQmJjrqVquVNm3aMGPGDK0XkU7GDBnGgIBL5CM7iaTg3zyBOZ8vMztWmrLZbDRs3o3tuSeCx+MAWCLnsOW9cjRo0MDkdCIiImIGjU8zhtjYWMYVrMfUO8ZN5wX8wP8dmUOlSpVMTpa2wsPDqdE7lOQq7xqFxJtUPdeHbzcG4+7ubm44EUk3mn4rGV5MTAx169ZlyZIlxoApnw+UagP5KpOQkMCSJUuoU6cO169fNztqltB9QB8WWo4D4I4rhVef4NKlSyanSltDR45lu2s/R0OP89sIaGVXQ09ERCSL0vg048idOzeuXWpzA6Ox2p7SLJoyy+RUaevSpUs06jX/XkPPbqNAxAA2rghQQ08ki1FTTzI8f39/IiIiwKMwNAuDFoegfgi0OGwcexQmIiICf39/s6NmCd7e3vzs+wTJ2ADobivLgtkfmJwq7Sz/OISA8AqQv4pRuPET7YusY2D/vuYGExEREdNofJqx9Bjcn8UYN51zkI3cq44QFRVlcqq0cefOHRq++TbXKgU6am6H3mXLwgEULFjQvGAiYgpNv5UMLSoqiqJFixp3QJuFQeHn/3rSpV2wrg5Wq5Xz589rDZN0sGfPHn6pNYbWlAKgX+4DTL2ym+zZs5ucLHXt37+fmn03kewz2igk3qTqL334doOmNYiIiGRVGp9mTD0aNGfe9vy4YOE8t1g+7mmGjR5pdqxUZbfbeaNjXz5LGQq5SxjFk8v4rE9OWrRobm44ETGFntSTDC00NPTelIa/GzABFKrtmOoQGhqarvmyqho1arDlqWTHcZfYEqxcscLERKnv4sWLNOw1/15Dz26jYER/Nq2YroaeiIhIFqbxacbUZmQ/1vIzAMXIxc8zVpOUlGRyqtQ1cUoAn914815D78o+RtU9p4aeSBampp5kaDExMcYfPJ/655MsFsfrjvMlTVksFl4c0Y3vuAJAFfITNn4RzvLgb3x8PA3bvM31yjMdNbdDo9m6yJ8CBQqYmExERETMpvFpxvTCCy+wvuRtx3HHmKJ8/vnnJiZKXevWrWfkBq97jeS4CzR1D2bcmBHmBhMRU6mpJxmal5eX8YfrP/zzSXa743XH+ZLmWr3xBks9zzuOfU/lICwszMREqcNut9O++2Aii00Et5xG8cRHrBxe3el3URMREZF/p/FpxmSxWKgxvBNHiAagBo+zdXyQyalSx7Fjx2g1NgzKdTUKyfGUPTuUVYsDsVgs5oYTEVOpqScZmq+vL1arFaIPG2uT/J3LuyH6CFarFV9f33TNl5W5u7tTpH8zLhIHwGuUIGTCbJNTPboJkwP4IrYd5CpuFH7dy+h652ne/HVzg4mIiEiGoPFpxtW2XTsW5TzrOH7xe/juu+/MC5QKoqOjadB5MglVJjpqeQ4NYuuKSXh4eJiYTEQyAjX1JEPLnz8/bdq0MQ62tzYGTneneNrtxvH21gC0bds2wy5CHBUVxdKlSwkMDGTp0qVOsxtX9z69CHI1dhpzxYXSWy5w9uxZc0M9grVr1zFq02NQqJZRuHWeZtkXM3b0cHODidwnZ/2sERHJSJxhfOqs3xc5cuTAs3dDorgDwBuUYunEWSanenhJSUk0befPpacDwcUVAJejk9k4pyPe3t7mhhO5D876WZORaPdbyfBiYmKoW7cuERERRiFfZWONkus/QPQRACpWrEhYWBienp7mBf0bMTEx+Pv7ExISYiyo/Bur1UqbNm2YMWNGhsv8oPq/6cfUVa5YcSWGBKb2z8eEmQFmx3pgkZGRVO30EYnVJhuF5HjKnujOwc1Bugv6O1FRUYSGhhITE4OXlxe+vr4Z8peVrCYrfNaIiGQkmXV8mhW+Ly5cuMBH3i0Ybq8MwHjLYfzOf0mRIkVMTvbguvd5m4VRXcGznFE4u4bgN2Po4tfZ1FwZicamGVNW+KzJKNTUk0zh+vXrjg+FhIQER91qtdK2bVumT5+e4T4U/jrY8/ltsHcsQw/2HtThw4c5VGUgfpQFwD97OOOu7iRXrlwmJ7t/0dHRVGg8mMs+wY67oHn39yRizSjdBf2Nvpgzrj9/1viQj6fw5BjXHesKOcNnjYhIRpPZxqdZZWwK0PvVtsxcmxM3XLhCPB8OK867E/9rdqwH8uG8IHqv8YbiTYzCtQj6eq9g9vQJ5gbLIDQ2zbg0Nk1faupJppKZ7sT4+fmxZMkS8CgM9Vfd26kK7k3LuH0JPz8/Fi1aZFrO1NC1WkOCDz4JwA/E8PXsuvTu28fkVPcnKSmJ55t2Y1/hmWD1BMDlyES+CazHc889Z264DEJfzBnb3c+awniwivo8T2HHa7u4RGu2c4nbTvFZIyKSEWWW8WlWGpvu3buXMzVG0ob/ANA/9wGmXNlN9uzZTU52f3bs2MGLIw9hrzDIKNyJok70EL5aE4yrq6u54TIAjU0zNo1N05eaeiJpICoqiqJFixp3jZqF/XHQdNelXbCuDlarlfPnz2fIwd/9+uKLL8jXYjF1MaY1dCt2lKCfv8HFJeMv29m19xAWRXcHT+NJQ858yaK2N/Hr3MncYBmIvpgzrt9/1oTR7A//bu7axSXqsM4pPmtEROThZLWxKUDX8vUIPlYGgMNEcSjYF78uXUxO9e/OnDlDxZYBxFWfYxRsSXgf7cLRzbPVoPqNxqYZl8am6S/j/8YtkgmFhoYag6Z8Pn8/aAIoVBvyVSYhIYHQ0NB0zZfaXn31VUIK/Oo4bnHeky1btpiY6P7M/XA+i842uNfQiz5Kv4r71dD7naioKEJCQgD+MmgCeJ7CrKI+ACEhIVr8Np3d/azxId/fDpoAalOIyuRzis8aERF5OFltbApQf2R39nEFAB/ys2v8IjL68yyxsbE0aDeauCr31qfOcXAo25aNVkPvNxqbZmwam6Y/NfVE0kBMTIzxB8+n/vkki8XxuuP8TMrV1ZUyQ1pxllgAmlCcz8fPNTnV/7Zjxw76LY8H78ZGIf4qdRNmMGPK++YGy2D0xZyx3f3seArPfzzHgsXxemb/rBERkYeT1camAC1btuQjz/OO46anPdi5c6eJif43m81Gy06DOF1qGrhajeKxD1g9sQllypQxN1wGorFpxqaxafpTU08kDXh5eRl/uP7DP59ktzted5yfiXXp3o0gtxOOY5/dMfz4448mJvpnp0+fpungz7FXGGgUbEkUPzGYNcsDtU7Jn+iLOWO7+9nxA9f/8Rw7dsfrzvBZIyIiDy4rjk3d3d0pOuAVLhIHwKuUIGTCbJNT/bN3Ro1ji6U3eBQyChe+IqBFCg0bNjQ3WAajsWnGprFp+lNTTyQN+Pr6YrVaIfqwsT7J37m8G6KPYLVa8fX1Tdd8acHLy4uEDs8QRxIAnSjDwmmzTE71Vzdv3qRBu3f/MK3B47dpDXnz5jUxWcakL+aM7e5nzWGi2cWlvz1nN5c5QrTTfNaIiMiDy4pjU4DufXoR5GrcdHbFhbJbL3LmzBmTU/1VSMgKpn33NOSvahRu/ES7QmsYNKCvucEyII1NMzaNTdOfmnoiaSB//vy0adPGONje2hg83V3Dw26/t8MY0LZtW6dZHLT72wNYijFwyoUbbsu+4/r16+aG+h2bzUbzjgM5859p4OoOgCVyDmsm+1K6dGmT02VM+mLO2H7/WdOa7eziEnaMzxo7dsdi0eBcnzUiIvJgsurYtECBAsS8UYE7JAPQlbIETc9YT+vt37+fTjNPQqk3jELiTapeHcuiD6ZisVjMDZcBaWyasWlsmv60+61IGvnzVuvkq2ysU3L9B4g+AjjnVuvdajdl4TdFATjDTb6cUg3/t4eYnMowZPi7BJx4HfL7GIXz25je8AcGDehnaq6M7s87jNWmEBYs2LGzm8vaYcxkf/6sqUw+nsKTH7jOEaIB5/ysERGRB5NVx6ZHjhzhgM8AumBsjDY4+wHGXt1Brly5TE4Gly5donzT0cRUX2gU7DYKHOzK9xsmU7BgQXPDZWAam2ZsGpumLzX1RNLQ9evX8ff3JyQkhISEBEfdarXStm1bpk+f7nQfZBs3bsTy8mwa4w1AzwKH+eDSHtPXqlv+cQgdlrhDyZZG4cZPtM89m4+CAnUX9F/oiznjy4qfNSIi8uCy6vdF1+qNCD7wBAA/cp3ts56nTz9zp7beuXOHZxp14/tS88EtJwBuB0ezf2FLKleubGq2jE5j04wvq37WmEFNPZF0EBUVRWhoKDExMXh5eeHr6+u0jxrbbDZ6Fq/FgguVANjBRWK+6MLrr79uWqb9+/dTs+8mkn1GG4XEm1T9pQ/fbgjG3d3dtFyZib6YM4es9FkjIiIPL6t9X3z55Zd4NV/ECxQBoFvRowSd+wYXF3NWo7Lb7bzRsS+fpQyF3CWM4sllfNYnJy1aNDclU2ajsWnmkNU+a8ygpp6IpLq5s+fQoP8uyv6261S3amdZGL7ZlCwXL16kfLMxXP/dtIaCB7vw/capFChQwJRMmZm+mEVERCSzSUlJoXfhmsy/6gPARs7Bhv40adLElDwTJk9j5Df/B4WfNwpX9jHKZxvvvzvSlDyZmcamktWpqSciqe7WrVu8V+AFpt2pBsAijlP1UCA+Pj7pmiM+Pp5nGncjslTQ76Y1jCQ8uDWVKlVK1ywiIiIiYp7pU6fx+tADPEkeALrVusDC3evTPce6det5ZdqvUK6rUYi7QNOksaxdOV9LwojIA9PutyKS6nLlyoVbtzpcx3gUvi2lWDxlVrpmsNvttO8+mMhiEx0NPU58xMrh1dXQExEREcliunTvRpD7ScdxlW+u8+OPP6ZrhsjISFqN3XWvoZccT9mzQ1m1WGs8i8jDUVNPRNJED/9+LOIEANnJhtcn33P16tV0u/6EyQF8EdsOchU3Cr9+y+h652ne3Ly1/URERETEHJ6eniR1eJZbJAHQiTIsmDoz3a4fHR1Ng85TSKgywVHLc2gQW1dMwsPDI91yiIhzUVNPRNLEk08+yfGXCpOCDYAeKWVYMHdeulx77dp1jNqUDwrVMgq3ztMs+xLGjh6eLtcXERERkYyn+9sDWPrbTedcuOG+bD8xMTFpft2kpCSatvPncvlAcHEFwOXoZDbO6Yi3t3eaX19EnJeaeiKSZtqM6MdafgagCDm5MHMtiYmJaXrNyMhIWo3bDWX9jEJyPGXPDWPlohma1iAiIiKShZUtW5ZDtb0cxz2SSrNowcI0v27vgSPYm3c4WH+79tk1LOjxODVr1kzza4uIc1NTT0TSTN26dVlfMt5x3PF6MT777LM0u54xrWEqib+b1pD30EC2hkzUtAYRERERoeXIPsbut8CT5OHEtE9JTk5Os+t9OC+IhadfBM9yRuFaBH3L76OLX+c0u6aIZB1q6olImrFYLNQa0ZkjRAPwfxRk+/gFaXKtpKQkXm4z6I/TGo5MZNMHfprWICIiIiIANGzYkM+LXXcct7n6OGvXrk2Ta+3YsYM+y+KgeBOjcCeKOvEBBE59P02uJyJZj5p6IpKm2rZrx6JcZx3HDY65sHfv3lS/Tq8Bw/nOayRYPY3CmS9Z2KsIzz33XKpfS0REREQyJxcXF6q+054fuQ7ACxQhdHzqr/t8+vRpmg7+DHuFQUbBloT3j4NYszwQV1fXVL+eiGRNauqJSJrKnj07Xn0acRVjGm5LSvLRxFmpeo25H85n0dkG4FnWKEQfpV/F/fh17pSq1xERERGRzK9j504syH7KcVzrYCKHDx9OtfePjY3lpfZjiKsS4KjlODiUbctG4+npmWrXERFRU09E0lyP/n1YYDkOgBsueK87zYULF1LlvXfs2EG/5fHg3dgoxF+lbsJ0ZkzRtAYRERER+atcuXJh7V6X6yQA0JZSLJo8M1Xe22az0bLTIE6XmgauVqN47ANWT2xCmTJlUuUaIiJ3qaknImmuSJEinH/lPyRhA6C7vSxBM+c+8vsa0xo+x15hoFGwJVH8xGDWLJ+paQ0iIiIi8o96+PcjGOOmc3ay4fXp91y5cuWR3/edUePYYukNHoWMwoWvCGiRQsOGDR/5vUVE/kxNPRFJF52G9+dTTgOQn+xc/2AL8fHx//JT/+zmzZs0aPfuH6Y1ePw2rSFv3ryPnFdEREREnNcTTzzBiYZFSfntpnPPlLIsmPtoa+uFhKxg2ndPQ/6qRuHGT7QrtIZBA/o+alwRkb+lpp6IpIv/+7//Y3t5u+O4a9wThHz88UO9V0pKCs07DuTMf6aBqzsAlsg5rJnsS+nSpVMlr4iIiIg4t7Yj+rGGnwEoQk4uzFxLYmLiQ73X/v376TTzJJR6wygk3qTq1bEs+mAqFosltSKLiPyBxW632//9NMnMoqKiCA0NJSYmBi8vL3x9fcmfP7/ZsSQLWrFiBU+2XcVzPA5A1ycjWXhq1wMPdIYMf5eAE69Dfh+jcH4bMxr9yMD+ugsqIiKSGWh8KhmB3W6nW+k6BJ96GoB9XOGn5S1p167dA73PxYsXqdDsXWKqL/jtjW0UONiV7zdMpmDBgqkdW0TEQU09JxYTE4O/vz8hISF/uONktVpp06YNM2bM0O5Lkq6SkpLo/3hNPowxpiSs5ix5vxpGvXr17vs9ln8cQocl7lCypVG48RPtc8/mo6BA3QUVERHJ4DQ+lYxmyeLFVO6ynioYTeUuTx0nOPLr+x5X3rlzh2cadeP7UvPBLScAbgdHsX9hKypXrpxmuUVEQE09pxUTE0PdunWJiIgwCvl8wPMpuH4Moo8AULFiRcLCwjRwknQ16f3xtB9zjGLkwoadXvWjCNr2xX397P79+6nZdxPJPqONQuJNqv7Sh283BOPu7p6GqUVERORRaXwqGdGdO3d4u2BtZsdWA2Alpyix531q1Kjxrz9rt9t5o2NfPksZCrlLGMWTy/isT05atGielrFFRACtqee0/P39jQGTR2FoFgYtDkH9EGhx2Dj2KExERAT+/v5mR5UspttbPQnKdgIAFyw8tf0yp06d+tefu3jxIg17zb/X0LPbKBjRn00rpquhJw8sKiqKpUuXEhgYyNKlS4mKijI7koiI09P4VDKi7NmzU6BvE65gbODWkidZNnHWff3sxCkBfHbjzXsNvSv7GFX3nBp68sA0NpWHpSf1nFBUVBRFixY1pjQ0C4PCz//1pEu7YF0drFYr58+f1xomkq4Gtu/GxI/t5CAbN0hkYu+8TJob+I/nx8fH80zjbkSWCvrdtIaRhAe3plKlSumUWpyBpn2JiJhD41PJyC5dusSiYq8x0uYDwCTLYdqf+5xixYr948+sW7eeV6b9CuW6GoW4CzRNGsvalfO1JIzcN41N5VHpST0nFBoaanwg5PP5+wETQKHakK8yCQkJhIaGpms+ka7vDOBjfgIgL+4kL9pNbGzs355rt9tp192fyGITHQ09TnzEyuHV1dCTB3J32teSJUtITEzEh3y0oRSVyUdCQgJLliyhTp06XL9+3eyoIiJOR+NTycgKFy7MpdfKkEgKAN3s5QiaOfcfz4+MjKTV2F33GnrJ8ZQ9O5RVi7XGs9w/jU0lNaip54RiYmKMP3g+9c8nWSyO1x3ni6STihUr8u0zORzHPe6UYsmixX977oTJAXwZ2x5yFTcKv37LmBcv0Lz56+kRVZzI3WlfhfEgjGYcogUh1OcwLQijGYXx0LQvEZE0ovGpZHSdhvXnE04DkJ/s3PxwK/Hx8X85Lzo6mgadp5BQZYKjlufwILaumISHh0e65ZXMT2NTSQ1q6jkhLy8v4w/Xf/jnk+x2x+uO80XS0Ssj3+IrLgBQBk+OTgnBZrP94Zy1a9cxalM+KFTLKNw6T7PsS3hv1LD0jiuZXFRUFCEhIQCsoj7PU/gPrz9PYVZRH4CQkBCtYyIikso0PpWM7plnnuHriveesusa9yQfL1/+h3OSkpJo2s6fy+UDwcUVAJcjk9g0pxPe3t7pGVcyOY1NJbWoqeeEfH19sVqtEH3YWJvk71zeDdFHsFqt+Pr6pms+EYCmTZuysuBVx3HLi4+xceNGx3FkZCStxu2Gsn5GITmesueGsXLRDE1rkAd2d9qXD/n+Mmi6qzaFHNMdNO1LRCR1aXwqmUHDkT3Yw2UAKvIY305Ywu+XoO89cAR78w4H629N57NrWNCz0H3tlCvyexqbSmpRU88J5c+fnzZt2hgH21sbA6e7X0Z2u3G8vTUAbdu21SLEYgpXV1eeHtqa09wEoBHefDH+A+DutIapJP5uWkPeQwPZGjJR0xrkodydxvUUnv94jgWL43VN+xIRSV0an0pm0Lx5c5Z5XXQcv3I2F19//TUAH84LYuHpF8GznPHitQj6lt9HF7/OJiSVzE5jU0kt2cwOIGlj+vTpHDhwgIiICFhXB/JVNtYouf4DRB8BjHXNpk+fbnJSycr8unVl4ogQJiVWA6D6tzc5cuQIPd4O4HL5Wb+b1jCRTR/4aVqDPLS707h+4Po/nmPH7nhd075ERFKfxqeS0bm5ufGE/+ucHx1JMXLRjBK8NWEOLi4u9FkWBxWaGCfeiaJOfACBU4PNDSyZlsamklr0pJ6T8vLyIiwsDD8/v9+mOhyBUysdUxr8/PwICwvT9thiqrx585LS6TliMbZv70QZerTpw3deI8HqaZx05kuC3yrKc889Z15QyfTuTvs6TDS7uPS35+zmMkeI1rQvEZE0ovGpZAbd3urJ/GwnAHDBwlPbL/PyoE+wVxhknGBLwvvHQaxZHoirq6uJSSUz09hUUovF/vtFAsQpRUVFERoaSkxMDF5eXvj6+mpKg2QYJ06cYHNZP/pRAYChZSswtW4/48Xoo/R/YhUzp403MaE4Cz8/P5YsWUJhPFhFfWpTCAsW7NjZzWVas51L3MbPz49FixaZHVdExKlpfCoZ2cAO3Zm43EYOsnHDkkKx9gHcypEXgBzhgziysjelS5c2OaVkdhqbSmpQU09ETNe97qssCCsEwLmcXpRsM56UhGvUjXmb7auDdRdUUkVMTAx169Y1pn0BlcnHU3jyA9c5QjRgTPvSUyIiIiJZW0REBHsr9aE7TwHQr2Zr5lR4ESLnsuXdMrz00ksmJxRnoLGppAZNvxUR09Xu0pzQnDYAisfF8NqZA3gf92fN8plq6Emq+fO0ryNEs5JTjmkNmvYlIiIiYDRSPikW5zjuF/k1lvPbCWhpU0NPUo3GppIa9KSeiJjq5s2bVG7Ym9Keb7Nls7H77a4cdg5Prki/fv1MTifOStO+RERE5J+EhKyg3SJXtv1wnvoXjwPQMs8BVl3bpxvOkiY0NpWHpaaeiJgmJSWFRi26sz33RMhRkMhPx/L0dWOh2K4+pwk+tNXkhCIiIiKSlezfv5+afTeS7DOGZmePsHaLcdN5C+dJXPcWTZs2NTmhiMg92cwOICJZ1zujxrHdtT94PA7ArKKFmfdbU6/O4WQOHjxI1apVzYwokqXoLrGIiGRlFy9epFGvIJKrLwAg1Ls8p1yTKZWSjYYUo+v4D9TUE0lnGp/+b2rqiYgpln8cQkB4RSjpYxRunGS/63JiKIUXVt6kFEMmzaTqJ0tNzSmSFcTExODv709ISAiJiYmOutVqpU2bNsyYMUPruYiIiFO7c+cOjdoMJabyfEfN9ch7zHc5zJSU6gA8szeWyMhIypcvb1ZMkSxD49P7o40yRCTd7d+/H79Zp6BkS6OQeJNqUeNY+dkiFmKsW2LFlQJf/MCvv/5qYlIR53d357UlS5aQmJiID/loQykqk4+EhASWLFlCnTp1uH79utlRRURE0oTdbqdD98F8X3Q8uOU0iieXsWJYVfCrSSxGQ6EjZVg4ZZaJSUWyBo1P75+aeiKSri5evEjDXvNJ9hltFOw2Ckb0Z+OK6ZQuXZpTjb1JwdgJt0dKWRbM+dDEtCLOz9/fn4iICArjQRjNOEQLQqjPYVoQRjMK40FERAT+/v5mRxUREUkTE6cE8NmNNyF3CaNwZR+j6p6jRYvmdB/SnyWcAMCDbHiEHODatWsmphVxfhqf3j9tlCEi6SY+Pp5nGncjslSQ4y6o28GRhAe3plKlSgDs2rWLX+uMoyUlAeib5wABV77BarWallvEWUVFRVG0aFESExMJoxnPU/gv5+ziEnVYh9Vq5fz581rDREREnMq6det5ZdqvUK6rUYi7QNOksaxdOR+LxQJAj3qvMm/H47hg4Ry3WDm+IkNHDDMxtYjz0vj0wehJPRFJF3a7nXbd/YksNvHetIYTH7FyeHVHQw+gdu3abCyd4DjufLM4n6xald5xRbKE0NBQx5SGvxswAdSmkGOqQ2hoaDonFBERSTuRkZG0GrvrXkMvOZ6yZ4eyanGgo6EH0GpEXzZwDoDi5OL09C9ITk42I7KI09P49MGoqSci6WLC5AC+jG0PuYobhV+/ZcyLF2je/PU/nGexWKgzogsHiQKgOgXYMSEYPVQskvpiYmIAeArPfzzHgsXx+t3zRUREMrvo6GgadJ5CQpUJjlqew4PYumISHh4efzi3QYMGrC4e6zhuF12IL7/8Mt2yimQlGp8+GDX1RCTNrV27jlGb8kGhWkbh1nmaZV/Ce6P+ftrCm23asDj3z47jRsfd2LNnT3pEFclSvLy8APiB6/94jh274/W754uIiGRmSUlJ+LYdxOXygeDiCoDLkUlsmtMJb2/vv5xvsVh4ZngHIjHW0nuewmwcP/8v54nIo9P49MGoqSciaSoyMpJW43ZDWT+jkBxPuXPvsHLRjD9Ma/g9q9VKgX4v8yu3AWjOkyyfqJ3GRFKbr68vVquVw0Szi0t/e85uLnOEaKxWK76+vumcUEREJPX1HjiCfZ4jwPpbM+Dsahb2KkyNGjX+8Wc6dOzIQo8zjuO6R1I4cOBAWkcVyXI0Pn0wauqJSJoxpjVMJfF30xryHhrIlpC/Tmv4sx79erPA5TgA2XDhyQ0/88svv6RpXpGsJn/+/LRp0waA1mxnF5ewY0x1t2NnF5dozXYA2rZtm6UXIRYREefw4bwgFp5+ETzLGYVrEfQt/x1+nTv9z5/z8PAgZ88XucYdAN6kFIsnzUzruCJZjsanD0a734pImkhKSqK2b1e+KzILrJ4AuByZyDeB9Xjuuefu6z36tuzA9M+tuOPKNe4ww78Q7wdMTsPUIllPTEwMdevWJSIiAoDK5OMpPPmB6xwhGoCKFSsSFhaGp6eniUlFREQezY4dO3hx5CHsFQYZhTtR1IkewldrgnF1df3Xnz937hyrnmjN23Zjk7dxLofocWEthQoVSsvYIlmOxqf3T0/qiUia6NV/GN95jXQ09DjzJcFvFb3vhh5A52EDWMVpAB4jO7fmbeP27dtpkFYk6/Ly8iIsLAw/Pz+sVitHiGYlpxxTGvz8/DRgEhGRTO/06dM0HfzZvYaeLQnvHwexZnngfTX0AIoXL87pJsVJxgZAD1tZFsz5MK0ii2RZGp/ePz2pJyKpbs4H8+i3/knwbmQUoo/S/4lVzJw2/oHfq2vl+gQf/Q8A33ONPfMa0KNnz9SMKyK/iYqKIjQ0lJiYGLy8vPD19c3yUxpERCTzi42NxafRW5x+OhhcrQDkCB/EkZW9KV269AO91+7du7n0/FhaURKAPrkPMP3qN1it1lTPLSIan/4bNfVEUpE+cO5OaziCvcIAoxB/lboxb7N99f1Na/izTz75hKKtP6YWxrSGbiW+Z8GZ3f+4yYaIiIiIGDQ2BZvNRqMW3dmWawJ4PA6A5dhcNo8pw0svvfTA72e32+lW7gWCTxhr8oVzlWNLXqVjp/+9Jp+ISFpQU08kFcTExODv709ISAiJiYmOutVqpU2bNsyYMSNLPBp8+vRpKrWaQVz12UbBlkTxiC4c3TyHvHnzPtR7JiUl0b9QTT68VhWAdfxMjq1DaNCgQWrFFhEREXEqGpve8/aI95h2/BXIb4wlufAV0186xqABfR/6PT9aupTynddQjQIAdCnzI8E/7tBNZxFJd2rqiTyiPy/iST4f8HwKrh+D6CNA1ljE8+bNm/g06sOZ8sHg6g6AR/ggDj/EtIY/mzJhEm+OjKA4ubBhp1e9KwR9tToVUouIiIg4F41N7wkJWUG7Ra5Q6g2jcOMn2uWazbIFgY/UgEtISGBwwVrMuVkNgE84RZFd71G7du3UiC0ict+0UYbII/L39zcGTR6FoVkYtDgE9UOgxWHj2KMwERER+Pv7mx01zaSkpNC840DO/Geao6FniZzDmsm+j9zQA+jWqwdB2U4A4IKF8l9f4eTJk4/8viIiIiLORmNTw/79++k08+S9hl7iTapeHcuiD6Y+8hN1VquVQv2bchljA7fmPMnHE2c/amQRkQempp7II4iKiiIkJMQ4qL8KCj//xxMKP2/UgZCQEKKiotI5YfoYOnIs2137O9Yp4fw2pr9Bqk2Rfeyxx4hrW5XbJAPgR1kWBMxKlfcWERERcRYamxouXrxIo15BJPuMMQp2GwUiBrBxRQDu7u6pco3ufd8iyPU4ANlwoeTGc5w7dy5V3ltE5H6pqSfyCEJDQ411SvL5/HXQdFeh2pCvMgkJCYSGhqZrvvSw/OMQph+oBPl9jMKNk3Qoup4B/fqk6nW6De3PMoyn8/LgDou/5caNG6l6DREREZHMTGNTiI+Pp2HbocRUDnTU3A6PYWvwQAoWLJhq13n88ce52vwpEkgBoKu9DEEz5qTa+4uI3A819UQeQUxMjPEHz6f++SSLxfG643wnsX//fjrPPg0lWxqFxBtUixrHwjlTUn2h4PLly7P/uVyO4x6J/2FJ8KJUvYaIiIhIZpbVx6Z2u52OPYYQWWQ8uOU0iieXseKdqlSuXDnVr+c3bAArOQXAY2QnLugr4uLiUv06IiL/RE09kUfg5eVl/OH6D/98kt3ueN1xvhO4ePEiDXsFkVJ5lFGw2ygYMYCNK6an2rSGP3ttZG+2ch6A/5CX76esJCUlJU2uJSIiIpLZZOWxKcDEKQF8duNNyF3CKFzZx6i652jRonmaXK9q1aqE+WRzHHe7/STLly1Lk2uJiPwdNfVEHoGvry9WqxWiD8OlXX9/0uXdEH0Eq9WKr69vuuZLK/Hx8TRs8zbXfz+t4dBoti7yp0CBAml23ZdffplPC0c7jlv/mt8pp42IiIiIPIysOjYFWLduPSM3eN2bdhx3gabuwYwbMyJNr9tkZE92cQmA8jzG/onLsNvtaXpNEZG71NQTeQT58+enTZs2xsH21sbg6e6XuN1uHG9vDUDbtm3Jnz+/SUlTj91up113fyKLTbw3reHER6wcXp1KlSql6bVdXFyoMLQNJzHW0mtAMdaM/zBNrykiIiKSWWTFsSlAZGQkrcbugnJdjUJyPGXPDmXV4sBUXxLmz1577TVC8l++d3wuN9u2bUvTa4qI3GWx6zaCyCOJiYmhbt26REREGIV8lY11Sq7/ANFHAKhYsSJhYWF4enqaFzSV/HfiVEbvrQmFahmFX79lTLUdjB09PF2uf/PmTf5b8EWmJFQDIIgfqHF0LhUrVkyX64uIiIhkZFltbBodHU2Fxv5c9lkELq4A5AnvxferR+Lt7Z0uGaZOnMwbI45QgtwA9HjhMkFfr0mXa4tI1qYn9STNREVFsXTpUgIDA1m6dClRUVFmR0oTXl5ehIWF4efn99t0hyNwaqVjWoOfn5/TDJrWrl3H6M357zX0bp3nlRxLeW/UsHTLkCdPHix+tbhJIgAdKE3wlFnpdn0RERHJvLLC+DQrjU2TkpLwbTuIy+UDHQ09lyOT2DSnU7o19AC69uxOULYTjuMKO6I4efJkul1fRLIuPaknqS4mJgZ/f39CQkJITEx01K1WK23atGHGjBlOMYj4O1FRUYSGhhITE4OXlxe+vr5ONa2haqdlJFabZBSSb1PuRHcObF6Ah4dHumY5deoU6//TgQEYT+eNznaQAZc2Os0/axEREUldWXV86sxjU4Dufd5mYVRX8CxnFM6uZlGbG/h17pTuWfw79+S/S5PxIBuxJPJ+j1xMmT873XOISNaipp6kqr8+7u/z2+P+x5zycf+swpjWMJjLPsGOu6B59/ckYs2odL0L+ns96r/OvK8K4IKFX7hFyPvleWdU2i6ELCIiIpmPxqfO6cN5QfRe4w3FmxiFaxH09V7B7OkTTMlz7Ngxwsr3pBdPA/CO+wFGXNlO3rx5TckjIlmDpt9KqvL39zcGTB6FoVkYtDgE9UOgxWHj2KMwERER+Pv7mx1V7lNSUhIvt/nztIaJbPrAz7SGHkDrEX1ZzzkAvMnFmelfkpSUZFoeERERyZg0PnU+O3bsoM+yuHsNvTtR1IkPIHDq+6Zlevrppwmvkcdx3COxNEuCF5mWR0SyBj2pJ6kmKiqKokWLGlMamoXd207+9y7tgnV1sFqtnD9/3qke/3dWXd8azKJrPcCzrFE48yWL28XSuVNHU3PZ7Xa6l3yehWfLA7CHy/yysi2tW7c2NZeIiIhkHBqfOp/Tp09TqdV04qrPMQq2JLyPduHo5tmmP2kZGhqKW9MPaEgxALoXPMy8i3twdXU1NZeIOC89qSepJjQ01Bgw5fP5+wETQKHakK8yCQkJhIaGpms+eXBzPpjHop8b3mvoRR+lf6Vw0xt6ABaLhf8b3pEIrgFQk0JsGR9kcioRERHJSDQ+dS6xsbG81H4McVUCHLUcB4eyffkY0xt6AE2aNOGzItccx29eKcD69etNTCQizk5NvTSUFXbX+r2YmBjjD55P/fNJFovjdcf5kiHt2LGD/h8ngHcjoxB/lboJ05k+eZy5wX6nXfv2BHuccRzXi7Czf/9+ExOJiIhkXFltbAoanzoTm81G844DOV0qAFytAFiOzWXNpJcpXbq0yekMLi4uVBzahhNcB6A+RVk7/kNzQ4mIU1NTLw3ExMTg5+dH0aJF6dy5M4MGDaJz584UK1YMPz8/rl+/bnbENOHl5WX84foP/3yS3e543XG+ZDinT5+m6eDPsVcYYBRsSRQ/4c+a5TMz1PQBDw8P8rzVgGjuAPAGJVk6aZbJqURERDKWrDo2BY1Pnck7o8axzaUPeDxuFC5sJ6ClnZdeesncYH/SuYsfC7Kfchw/t/82R48eNTGRiDgzramXyrLy7lpRUVEUK1aMhIQErVmSid28eROfRn04Uz4YXN0B8AgfyOGVfTLMXdDf++WXXwgp0Yp37JUBGO9ymC7nV1O4cGGTk4mIiJgvK49NQeNTZxESsoJ2i1yh1BtG4cZPtMs1m2ULArFYLOaG+xvD+gxk+Ac3yIs78SQzvJ2FwOULzY4lIk5IT+qlsqy8u1b+/Plp06aNcbC9tTFAutszttuN4+3GJgZt27bVgCkDSklJoXnHgZz5zzRHQ88SOYc1k5tmyIYegLe3Nz/7PkEyNgC628qyYPYHJqcSERHJGLLy2BQ0PnUG+/fvp9PMk/caeok3qXp1LIs+mJohG3oAPQb3ZzHHAchBNnKvOpIlpruLSPrTk3qpSLtr/d3d4Mq/3Q3+IUvcDc7sBg8bw/STzSG/j1E4v40ZjX5kYP++pub6N3v27OGXWmNoTSkA+uU+wNQru8mePbvJyURERMyjsalB49PM6+LFi1Ro9i4x1RcYBbuNAge78v2GyRQsWNDccP+iR4PmzNueHxcsnOcWy8c9zbDRI82OJSJORk/qpSLtrmWsQxIWFoafnx9Wq9UYKJ1aCdFHsFqt+Pn5acCUQS3/OITpByrda+jdOEmHousZ0K+PqbnuR40aNdhSLtlx3CW2BCtXrDAxkYiIiPk0NjVofJo5xcfH07DtUGIqBzpqbofHsDV4YIZv6AG8OaIv6/gZgGLk4ucZq0lKSjI5lYg4GzX1UpF21zJ4enqyaNEizp8/z5IlS5gxYwZLlizh/PnzLFq0SAOmDGj//v10nn0aSrY0Cok3qBY1joVzpmTYaQ2/Z7FYqDeiK/u5AkAV8rNrwmL0ILKIiGRlGpveo/Fp5mK32+nYYwiRRcaDW06jeOIjVg6rRuXKlc0Nd5/q1avH2iduOY47xBTh888/NzGRiDijbGYHcCbaXeuP8ufPT6dOncyOIf/i4sWLNOwVRMrvpjUUjBjAxo3TcXd3NzfcA3ijdWv8+83imRvGnduXf8rOrl27qFOnjsnJREREzKGx6V9pfJo5TJwSwGc33oTCJYzClX2Mrnee5s1HmBvsAVgsFmqM6ExEjy1U5DFqUoiF44N48803zY4mIk5ET+qlIl9f398e6T9srE/ydy7vdjzq7+vrm675RP4sPj6ehm3e5vrvpzUcGs3WRf4UKFDAvGAPwd3dnUL9m3KJ2wC8RglCJsw2OZWIiIh5NDaVzGjduvWM3OB1b8p43AWaugczdvRwc4M9hHbt2xOc84zj+MXv4bvvvjMxkYg4GzX1UpF215LMxG630667P5HFJv5xWsPw6lSqVMnccA+pe59eBLkaO4254sJ/Np/n7Nmz5oYSERExicamktlERkbSauwuKNfVKCTHU/bsUFYtDswUS8L8WY4cOcjz1ktEcQeANyjJ0kmzTE4lIs5Eu9+mMu2uJZnFfydOZfTemlCollH49VvGVNuRKe+C/l7/1p2Z+kk2rLgSQwJT++dnwsxpZscSERExhcamkllER0dTobE/l30WgYsrAHnCe/H96pF4e3ubnO7hnT9/nuXFWzDM7gPAfy2H6HJ+NUWKFDE3mIg4BT2pl8q0u5ZkBmvXrmP05vz3Gnq3zvNKjqW8N2qYucFSgd+wAazgJwC8sJKwYAdxcXEmpxIRETGHxqaSGSQlJeHbdhCXywc6GnouRyaxaU6nTN3QAyhWrBjnmpYkGRsAPezlWDD7A5NTiYiz0JN6aSgqKorQ0FBiYmLw8vLC19dX0xrEdJGRkVTttIzEapOMQvJtyp3ozoHNC/Dw8DA3XCrpWvUlgg+VBOAHYtgx5wXe6tPb5FQiIiLm0thUMqrufd5mYVRX8CxnFM6uZlGbG/h1do5NTb799lt+rjmaNykFQL/cB5h6ZTfZs2c3OZmIZHZq6olkIca0hsFc9gl23AXNu78nEWtGZfq7oL/3+eefU6DlUupQGIBuxSII+nk3Li56OFlEREQkI/lwXhC913hD8SZG4VoE/YqvZFbAeHODpSK73U638vUI/qEsAIeI4nCwL35dupicTEQyO/2GK5JFJCUl8XKbP09rmMimD/ycqqEH8OqrrxKS/7LjuPn5vGzdutXERCIiIiLyZzt27KDPsrh7Db07UdSJD2DGlHHmBktlFouFF0d04zuuAFCF/OyasBg9XyMij0pNPZEsolf/YXznNRKsnkbhzJcEv1WU5557ztRcaSFbtmz8Z3BLfiYWgJcpzmfj55qcSkRERETuOn36NE0Hf4a9wiCjYEvC+8dBrFkeiKurq7nh0kCrN95gqed5x7HvqRyEhYWZmEhEnIGaeiJZwJwP5rHo54bgaTzyT/RR+lcKp3OnjuYGS0Nde3YnyO2k47jyrmscP37cxEQiIiIiAhAbG8tL7ccQVyXAUctxcCjbl49x2k1b3N3dKdK/GRcxNnB7jRKETJhtcioRyezU1BNxcl9//TX9P04A70ZGIf4qdROmM32yc01r+DMvLy/udKhOHEkAdKYMC6fNMjmViIiISNZms9lo3nEgp0sFgKsVAMuxuayZ9DKlS5c2OV3a6t6nF0GuJwBwxYXSWy5w9uxZc0OJSKampp6IEzt9+jTNhnyBvcIAo2BLovgJf9Ysn+mU0xr+rPvbA1iKMXDKhRuuH+3j+vXr5oYSERERycLeGTWObS59weNxo3BhOwEt7bz00kvmBksHBQsWJOaNCtwhGYBulCVoup7WE5GHp6aeiJO6efMmDdq9+4dpDR4H32bbsjHkzZvXxGTpp1y5chys5ek47plYmkULFpoXSERERCQLCwlZwbTvnob8VYzCjZ9oX3gdA/v3MTdYOuryzgBCOAWAJ1YSFuzk1q1bJqcSkczKYteWOyJOJyUlhUYturM990THXVBL5By2vFeOBg0amJwufW3cuBHLy7NpjLHDb48Ch/jw0remPakYFRVFaGgoMTExeHl54evrS/78+U3JIiIiIpJe9u/fT82+G0n2GWMUEm9S9Vwfvt0YjLu7u7nh0lnX6o0IPvAEAD9yna9m16F3X/MamxqfimReauqJOKHBw8Yw/WRzyO9jFM5vY0ajHxnYv6+pucxgs9noWbwWCy5UAuBrLnL9iy68/vrr6ZojJiYGf39/QkJCSExMdNStVitt2rRhxowZTrswtIiIiGRtFy9epEKzd4mpvsAo2G0UONiV7zdMpmDBguaGM8GXX36JV/NFvEARALoVO0rQz9/g4pK+E+k0PhXJ/NTUE3Eyy5Z/TMelVijZ0ijcOEmHPHNZOn8GFovF3HAmmTt7Dg3676IsngB0qXaWReGb0+36MTEx1K1bl4iICAB8yMdTeHKM6xwhGoCKFSsSFhamgZOIiIg4lfj4eJ5p0p3IkvPBLScAbodGsX9BKypXrmxyOnOkpKTQu3BN5l/1AWAj57BsHEDjxo3TLYPGpyLOQWvqiTiR/fv34zf7zL2GXuINqkWNY+GcKVm2oQfQya8zC7KfchzXOnCHw4cPp9v1/f39iYiIoDAehNGMQ7QghPocpgVhNKMwHkRERODv759umURERETSmt1up0P3wUQWGe9o6HHiI1YOq/b/7N15XJT19sDxD/siCCggCogiiMiq4pJZVlp6s83K+lm54FbmVraaS1m5tLhbuWFaZnXvrcyulZlptrqLAyIguCHK5rAPMMzM748HB62scYGHgfN+vXzd5jg+nOmGHs/znO9psg09ADs7O8KeG8JxigH4F235bM479ZqD1KdCNA7S1BOikcjOzuaOJ1ZjiJ2hBExGfDVT+ObjhU3unJI/cnNzw2HMzRRSCcCjhPD+m0vr5Wvn5+ezceNGAD6lHzfR+pKfv4nWfEo/ADZu3Eh+fn695CWEEEIIUdfmvbmAz0oeAfcgJZDzOzNvzeL+++v3GJSGaNTYMaxyTDe/jv1Zy9GjR+vla0t9KkTjIU09IRoBnU7H7UOfpzB2sTnmeHAG29ZOxcfHR73EGpBxUyexljQAnLHH898a8vLy6vzrbtmyhaqqKmJp+aeC6YI++BFDSyorK9myZUud5ySEEEIIUde++up/TP/aC/z6KIGyM9zltJbZM6epm1gD4enpiX5YD0rRAzCCjqx5u35uOkt9KkTjIU09IaycyWTi0bFTORIwF+xdlWDaB3w8rTvR0dHqJteAtG/fntTbW2PACMA4Qxir311R519Xq9UCEF5znt9fscHG/PMX3i+EEEIIYa2Sk5MZMvsn6DRaCVTrCDvxPJ++v7hJHwnzR2Ofm8L6mpvObjjg8OEeCgsL6/zrSn0qROMhTT0hrNyc+W/zRclj4NZWCeT8xqzbzshYw18Y+tIkNnMSAH+akbX4y0s2fdUFLy8vAFIovOx7TJjMP3/h/UIIIYQQ1qigoID+I9+ksstcc6z5oafZ9vF8XF1dVcys4QkLC+Ngn9rab1xVKGtXr6nzryv1qRCNhzT1hLBimzd/xcyt3uB3oxIozeIel/W8MuNFdRNroPr27cv/gnXm18MLA/jvf/9bp19z0KBBODk5cYgCfuLsX77nZ86RSAFOTk4MGjSoTvMRQgghhKgrer2eQY88zbmIxWBrB4Bt4ny+XT6CwMBAdZNroB6cPoFvOAVAe5qT+tZ/MBgMdfo1pT4VovGQpp4QVio5OZkhr/4CYfFKoLqcTqde4OOEhTLWcBk2Njbc+NJIEikAoBet+H7O6jr9mt7e3gwdOhSAh9nOT5zFhAlQ7oD+xFkeZjsAjzzyCN7e3nWajxBCCCFEXRk/ZRq7PaeDU82TXSc2seaJ1txwww3qJtaA3XHHHXwWUGh+PTTPl82bN9fp15T6VIjGw8ZkMpnUTkIIcWUKCgqIHPgM52ITzHdBPfY+jubLGXIX9B9UVFTwgk8flpR2A2Ajxwj+bQ69evWqs6+p1Wrp27cvGo0GgBhaEo4nKRSaG4xRUVHs2rULT0/POstDCCGEEKKuvPveSiZ8FQSBA5XAeQ2T2n7C0gVz1E3MCry7/B1um7SLTjVn2I3pdoI1+7bW6deU+lSIxkGe1BPCyuj1eu4c+sexhrl8+268NPQs4OzsjNeEAeShjOEOIZgP5tXtpjEvLy927dpFfHw8Tk5OJFLAJ2SYRxri4+OlYBJCCCGE1dq5cycTN5TXNvQq8rlZt4BFb76qbmJWYvjIEax2zjC/7r2/kkOHDtXp15T6VIjGQZ7UE8LKjB7/DGvPjwPPMCVw/Avef7SEkSOGq5uYFcnOzmZdwGBeMsUCMM8mkeGnP8Pf37/Ov3Z+fj5btmxBq9Xi5eXFoEGDZKRBCCGEEFYrMzOT6CELKYtbrgSMegIPj+Lw1mXSELoCL01+hueXFeCJExVU8/z/GVn68fv18rWlPhXCeklTTwgrsvzdFUz6X3sIHKAECg4zud2nLHlbxhqu1JP3PcqSL11xwJZ8Klj2nD+z35z7z79QCCGEEEIAUFJSQuyA8WR2TgA7JwBc9j1N4idPEhoaqnJ21uXEiRN81n4ozxANwMt2B5iQvQVfX1+VMxNCNGQyfiuEldixYweTP6qsbejp8rilahEL35CxhqsxYtpk/kMmAN44U/jud+h0un/4VUIIIYQQAsBoNHL/8KfI7LDA3NCzOfIOX86/Uxp6V6Fdu3ak3eGPASMAjxvCWP3OCpWzEkI0dPKknhBWQBlrWERZ3DIlYNTTVjOKw1uX4+HhoW5yVmx05G0kJCtF52EK2Lt6IKPHjFE5KyGsj4ztCCFE0/PcS6/wduq94N1FCZzZzsLbU3h6ykR1E7NiP/74IwW3zOF+2gPwpMd+Fuf+iqOjo8qZCWFdmlJtKk09YbHG9I1hTZ+luLiYmAETOBGRAHbKH+iu+57i0CcT5C7oNfr4449p/8in9KIVAKPbJ7Mm4ydsbGxUzkwI66DVapk6dSobN26kqqrKHHdycmLo0KEsWrRIzlMSQtQpa6rp/ok1fZaNGz/m0fftIXiIEig6xmPuy/lg1SKpo66ByWRiTOjNJGR0BmA3uRzb8CCPPvqoypkJYR2aYm0qTT3xjxrTN4a1fRaDwcCAB8ayvfl8cFHO07BJXsZ3r4TTv39/lbOzfnq9nim+vXm3sCsAmziBxw8vcuutt6qcmRANn1arpW/fvmg0GgBiaUk4nhyhkEQKAIiKipLNeUKIOmFtNd3fsbbPsnfvXnpP/Ibq2FlKoKqYrqcm8Ns3CfJE2XXw/tq1dBm9hViUhu6o8FQSkndIs1SIf9BUa1Np6om/9cdvDFrGgmc4FB6BgkTAer4xrPGzPPPiLBam3w/esUog63sWDTjKU5NlrOF6mffq6wx/+Sj+NMOIifH9C1i57TO10xKiwYuPj2fdunW0xpVP6cdNtDb/3E+c5WG2c5Zy4uPjWbt2rYqZCiEaG2us6S7H2j5LdnY2kXe/jDZutRIwGfE5MJqkr9+QhQ7XSUVFBc/79mFpSTcAPuYY7X59nRtuuEHlzIRo2JpqbSpNPfG3Lnxj4Noa+n0KrW+q/cmzP8H2h6H8rFV8Y1jbZ/lww0cMX+8EwQ8qgaJ0hjV/h/UrZazhesrLy2N56zuZbVCe1luEhnszNhAcHKxyZkI0XPn5+fj7+1NVVcUu7r6kaLrgJ85yM1/h5OREVlZWgx0hE0JYH2ur6f6ONX0WnU5H93+NJTl4JTg0A8Dh4Az2rh5CTEyMqrk1NrOnzWD8/FP44oIeI5PvLuW9zR+rnZYQDVZTrk1l+624rPz8fDZu3Ki8+GORAcrrfp8CsHHjRvLz8+s5Q8tZ22fZu3cv8cuO1zb0qorolv8qa5a/KQ2968zHx4fCh6KpoBqAUYSxeuEylbMSomHbsmULVVVVxNLyL4smgD74EUNLKisr2bJlSz1nKIRorKytpvs71vRZTCYTw8Y+Q3KbOeaGHmkf8MmL3aShVwfGTnqS1TapADhgS9v/ZZKVlaVyVkI0XE25NpWmnrisC98YtIz9c5FxgV8faBnT4L8xrOmzZGdnc8cTqzHEzlACJiO+mil88/FCOaekjox+cQofcQwADxzRJ/xESUmJylk1bvn5+axfv57Fixezfv36Bv+XLmvJtb5otVoAwvG87HtssDH//IX3CyHEtbKmmu6fWNNnmffmAj4reQTcg5RAzu/MvDWL++8frFpOjVmbNm3IvjcUPUYAxpo6sWrJOypn1bhZU71nTbnWl6Zcm9qrnYBouMz/oXuGX/5NNjbKzxckNuhvDGv5LDqdjtuHPk9h7CpzzPHgDLatnYqPj48qOTUF0dHRLIlzZvQ+5fW4ig6sf38dEydPUjexRsiaDgO3plzrm5eXFwApFF72PSZM5p+/8H4hhLhW1lLTWcJaPstXX/2P6V97Qac+SqDsDHc5rWX2zJWq5NNUjJg2mX9vepFHCcUbZ4re24bu1Vm4uLionVqjYk31njXlWt+acm0qT+qJyzL/h16Ycvk3mUzmn2/I3xjW8FlMJhOPjp3KkYC5YO+qBNPW8/G07kRHR9d7Pk3N3dPHs4NsADriSeIbH2E0GlXOqnG5cBj4unXrzI/HD6WD+TH4devWcfPNN1NYWKh2qlaVqxoGDRqEk5MThyjgJ87+5Xt+5hyJFODk5MSgQYPqOUMhRGNlDTWdpazhsyQnJzNk9k/QabQSqNYRduJ5Pn1/sRwJU8d69OjBD5G1r0eXteOjDRvUS6gRsqZ6z5pyVUNTrk2lqScu68I3BgWHlIN6/8q5n6EgscF/Y1jDZ5kz/22+KHkM3NoqgZzfmHVbtow11JO7776bT3xzza8fzG7Bt99+q2JGjc/UqVPRaDS0xpVd3M1BHmAj/TjEA+ziblrjikajYerUqWqnalW5qsHb25uhQ4cC8DDb+YmzmFD2bpkwmTeMATzyyCON5iBiIYT6rKGms1RD/ywFBQX0H/kmlV3mmmPNDz3Nto/n4+rqWq+5NFW3Tx/Hb+QAEE1Lfp27Dtlzef1YU71nTbmqoSnXprL9VvytP23k8uujjAGYTEqR0YA2cv2ThvxZNm/+insX5kNYvBIozeIe4+ts2vie3AWtR4veXsC9z+0jmOYAjOl9hjW//E/lrBoHa9pIZU25qunCHWONRgNADC0Jx5MUCkmkAICoqCh27drVZEdBhBB1oyHXdFeqoX4WvV7PTXeNZnfrJeCkPCFomzifnxf15YYbbqi3PJo6vV7PlFa9eVfbFYBNnKD59he47bbbVM7M+llTvWdNuaqpqdam8qSe+FsLFy4kKioKys/CVzfD511g+1Dlf7+6GcrPEhUVxcKFC9VO9R811M+SnJzMkFd/qW3oVZfT6dQLfJywUBp69Sx+zGhWOaabX3f7tYiUlL8ZiREWs6aNVNaUq5q8vLzYtWsX8fHxODk5kUgBn5BhHmuIj49vdEWTEKJhaKg13dVoqJ9l/JRp7Pacbm7ocWITa55oLQ29eubg4EDbp+8ji1IA7iGIT+YuVzmrxsGa6j1rylVNTbU2laae+Ft//MagIBEyPjGPAVjTN0ZD/CzKWMNbVHWZY455HHya7zbKWIMaPD09MQzvSSl6AIYTypq3lqicVeNgTRuprClXtXl6erJ27VqysrJYt24dixYtYt26dWRlZbF27Vqr+LNBCGF9GmJNd7Ua4md5972VJJzoD55hSuC8hkmRe4kfOaLechC1xox/nFX2aQDYYkP49nNkZGSonJX1s6Z6z5pyVVtTrE1l+634Rxe+Md588022bNmCVqvFy8uLQYMGWd1jvQ3ps+j1eu4c+jTnIpaCrR0Atolz+fbdeAIDA+s1F1FrzLOTWbdmNBOJoBkOOG/Yj3aBtkEftG0NrGkjlTXl2lB4e3szYoT8ZU8IUX8aUk13rRrSZ9m5cycTN5RD5EAlUJHPzboFLHozoV7zELW8vb0pfjgG3UfVuGDPKMKYt3AZ899ZrHZqVs2a6j1ryrWhaEq1qZypJ4RKRo9/hrXnx9XeBT3+Be8/WsLIEcPVTUwwtu+9rN7lB8BJSvjPvFieffF5lbOybvn5+QQEBFBZWdngzwKxplyFEEKI6yUzM5PoIQspi6sZ7zTqCTw8isNblzXKp1usiUaj4ffoCYwlHIBnnffzcu4O3N3dVc7MellTvWdNuYr6J+O3Qqhg+bsrWHvyjtqGXsFhJkfvk4ZeAzFk+gS2cAqAINxJf/s/VFdXq5yVdbOmjVTWlKsQQghxPZSUlHD7Y7Mo67LAHHM58DzbN8yShl4DEBUVxe4ezcyvx1V0YN3a91XMyPpZU71nTbmK+idP6glRz3bs2EG/GYcxRU5RAro8bil8nu+/WIOdnZ26yQkATCYTY4NuZM3pKAB2cZbc/wznwQcfVDkz62ZNG6msKVchhBDiWhiNRgY8MJbv3eaCaysAbI68w9ZZHbn99ttVzk5csHnzZprdu4p++AMwrs1hVpz+BVtbeU7nallTvWdNuYr6Jb8DCFGPMjMzufvZz2sbekY9bdOmsunDxdLQa0BsbGyImzaMIyiHzN5Ma76es1LlrKyfNW2ksqZchRBCiGvx/PTZfG870dzQ48x2FjxokoZeAzNo0CA+bZVnfv1gdgu++eYbFTOyftZU71lTrqJ+yZN6QtST4uJiYgZM4EREAtg5AuC67ykOfTKB0NBQlbMTf1RWVsZMn74s1HUDYB2pRO9fSNeuXVXOrHHIz89X/TBwS1lTrkIIIcSV2LjxYx593x6ChyiBomM85r6MD1YtxsbGRt3kxJ8sWbiIu57ZQweaAzDmhizW/LpF5awaB2uq96wpV1H3pKknRD0wGAwMeGAs25vPBxdfAGySl/HdK+H0799f5ezE5Ux/6jmeXZKHF05UYuDZIXqW/Xu92mkJIYQQQlyzvXv30nviN1THzlICVcV0PTWB375JwNHRUd3kxF8qKipirm8/3qhSbjqv4Ag3J6+kc+fOKmcmhFCLjN8KUQ+enz6b7XaTzQ09srax8CEbaeg1cOOensgaUgFwwg7vz1PIyclROSshhBBCiGuTnZ3NgCdW1Tb0TEZ8NFP45uMF0tBrwDw8PDCNvIESqgAYTkfWvLlE5ayEEGqSpp4QdezDDR+xcH80eMcqgaJ0hvlvYcqkCarmJf5ZUFAQGQMDMWAEYJwhjFXL31M5KyGEEEKIq6fT6bjjkefRxiw2xxwOzWJbwlP4+vqql5iwyNhnJ7OONABcscflo/2cP39e5ayEEGqRpp4QdWjPnj3ELzsOwTVbU6uKiCt4jTXL35RzSqzEoy9N4gtOANAaV84t/R+VlZXqJiWEEEIIcRVMJhPDxj5Dcps54NBMCaZ9wCcvdiMmJkbd5IRFQkND0dzijRHlFK3Hq8NIWLla5ayEEGqRpp4QdSQ7O5sB49dgiJ2hBExGfDVT+HqjjDVYkz59+vBNaG0Tb2RxIP/+9FMVMxJCCCGEuDpz31jAZyWPgHuQEsj5nZm3ZnH//YPVTUxckSEvTeRrTgHQFjcyFnxGdXW1ylkJIdQgTT0h6oBOp+P2oc9TGLvYHHM8OINta6fi4+OjXmLiitnY2HDzS6M4QD4A3fFlx9wEZMeQEEIIIazJV1/9jxnftgC/PkqgNIu7nd9n9sxp6iYmrlj//v3Z1LbE/PrRAj82bdqkXkJCCNVIU0+I68xkMvHo2KkcCZgL9q5KMG09H0/rTnR0tLrJiavyf0OH8r77SfPrAakO/PrrrypmJIQQQghhueTkZIbM/gnCRimBah1hJ1/gk7WL5EgYK2RjY0P3acNIRjlL7yZa882clSpnJYRQgzT1hLjO5sx/my9KHgO3tkog5zdm3ZYtYw1WzMnJCZ9Jd5JDOQAP0J4N85aqnJUQQgghxD8rKCig/8g3qewy1xxrfuhptn08H1dXVxUzE9di2PDhrHE9bn5986FqDhw4oGJGQgg1SFNPiOto8+avmLnVG/xuVAKlWdzjsp5XZryobmLimo2b9CSrbVMBsMeWdl+f5PTp0ypnJYQQQghxeXq9nkGPPM25iMVgaweAbeJ8vl0+gsDAQHWTE9fE1dWVZo/fxnkqAPg/OvD+/CUqZyWEqG/S1BPiOklOTmbIq79AWLwSqC6n0+kX+ThhoYw1NAJ+fn6cGxxGFQYAxpjCWLV4ucpZCSGEEEJc3vgp09jtOR2cvJTAiU2seaI1N9xwg7qJieti3FMTSbBJA8AJO3w+TyEnJ0flrIQQ9UmaekJcB8pYw1tUdZljjnkcfJptG2WsoTEZ+eIUPiUTgJY4U7Lie8rLy1XOSgghhBDiz955byUJJ/qDZ5gSOK9hUuRe4keOUDcxcd20bduWzH+1pRojAOMMYaxe/p7KWQkh6pM09YS4Rnq9njuH/nGsYS7fvhtPQECAusmJ6youLo6d0bVPXY4pD2bDhx+qmJEQQgghxJ/t3LmTSRvKIXCgEtDl0bdiIYvefFXdxMR19+i0SXzBCQD8cOXskv9RWVmpblJCiHojTT0hrtETk19kj9d0cPJUAse/IGF8AL169VI1L1E3Bkx/nF84B0AkLdgz7wNMJpPKWQkhhBBCKDIzM7nrmf9iinxaCRj1BKZO5csNi7Gzs1M3OXHd3XjjjXzbscr8Or6kLZ9+8omKGQkh6pM09YS4BsvfXcHak3fUjjUUHGZy9D5GjhiubmKizgwePJgNLbLNr+896c727dtVzEgIIYQQQlFSUsLtj82irMsCc8zlwPNs3zALDw8PFTMTdcXGxoa+L41iP3kAxOHDzrlr5aazEE2ENPWEuEo7duxg8keVEDhACejyuKVqEQvfkLGGxszBwYH2U+/nNKUADKIt/54rCzOEEEIIoS6j0cj9w58is8MCsHMCwObIO3w5/05CQ0NVzk7UpYf/7/9Y1/y0+fXANAd++eUXFTMSQtQXaeoJcRUyMzO5+9nPMUVOUQJGPUFpU9n0oYw1NAWjnxjHKntl05gtNkTuyOPYsWMqZyWEEEKIpuz56bP53nYiuLZSAme2s+BBE7fffru6iYk65+TkhO+kOzmHssDtftqzYd4ylbMSQtQHaeoJcYWKi4vp9+jLl4w1uB54ju83vCxjDU1Ey5YtKR3ahXKqARhJR1a9vVTlrIQQQgjRVG34aCML9kWCdxclUHSMx1pv5qnJE9RNTNSbsRPHs9o2FQB7bAn+5iSnTp1SOSshRF2Tpp4QV8BgMHD/iKc5EboA7BwBsElexpdv3EVISIjK2Yn6NPr5yWwgHYDmOGKz7leKi4tVzkoIIYQQTc3evXuJX3oMgocogapiuubPJuGdt7CxsVE3OVFv/Pz8yL2/E1UYABhjCmPVYjkiRojGTpp6QlyB56fPZrvtJHDxVQJZ21j4kA39+/dXNzFR7yIjI9nT0838emxlCOsS1qqYkRBCCCGamuzsbAY8sYrq2FlKwGTERzOFbz9eiKOjo7rJiXo38sUpfEIGAC1wpmzldsrKylTOSghRl6SpJ4SFPtzwEQv3R4N3rBIoSmeY/xamTJKxhqbq3unj+Z4sAELwIOnNTzAYDCpnJYQQQoimQKfTcccjz6ONWWyOORyaxbaEp/Dx8VEvMaGabt268WNM7fneo8uD2fDhhypmJISoa9LUE8ICe/bsIX7ZcQh+UAlUFRFX8Bprlr8pYw1N2KBBg/i3X4H59UPnWvL111+rmJEQQgghmgKTycSwsc+Q3GYOODRTgmkf8MmL3YiJiVE3OaGqgdMf52fOARBJC/bM+wCTyaRyVkKIuiJNPSH+QXZ2NgPGr8EQO0MJmIz4aqbw9cYFMtbQxNna2hLx/P9xjCIA+hPAl3PeUzkrIYQQQjR2c99YwGclj4B7kBLI+Z2Zt2Zx//2D1U1MqG7w4MF81PKs+fV9p5rz/fffq5iREKIuSVNPiL+h0+m4fejzFMYuNsccD85g29qpMtYgAIgfPYrVTsfMr3vsLiUpKUnFjIQQQgjRmH311f+Y8W0L8OujBEqzuNv5fWbPnKZuYqJBsLe3p/3U+zlFKQCDaMu/58rCDCEaK2nqCXEZJpOJR8dO5UjAXLB3VYJp6/l4Wneio6PVTU40GM2bN8c0sjfFVAEwjFAS3lyqclZCCCGEaIySk5MZMvsnCBulBKp1hJ16kU/WLpIjYYTZmCfGsco+DQBbbIjcmUd6errKWQkh6oI09YS4jDnz3+aLksfAra0SyPmNWbdly1iD+JNxz05mHUrh5II9bh8fpKCg4B9+lRBCCCGE5QoKCug/8k0qu8w1x5ofepptG+fh6uqqYmaioWnRogVlj3SlnGoA4glj9QK56SxEYyRNPSH+wubNXzFzqzf43agESrO4x2U9r8x4Ud3ERIMUEhJC0q0+GFEOIR5X3ZGEFatUzkoIIYQQjYVer2fQI09zLmIx2CrbTW0T5/Pt8hEEBgaqm5xokMY8P5kPUZ7Oa44jvP8bRUVFKmclhLjepKknxB8kJSUx5NVfICxeCVSX0+n0i3ycsFDGGsRlPTx9Ev/jFACBuHF84efo9XqVsxJCCCFEYzB+yjR2e04HJy8lcGITa55ozQ033KBuYqLBioiIYO8N7ubX46pCWJewVsWMhBB1QZp6QlykoKCA/vFvUdVljjnmcfBptm2cL2MN4m/ddtttbG5Xan792Pk2fP755ypmJIQQQojG4J33VpJwoj94himB8xomRe4lfuQIdRMTDd7g6U/yHVkAhOBB8pufYDAYVM5KCHE9WdzU27lzp5wRJRo1vV7PnUOfJidiyUVjDXP59t14AgICVM5ONHQ2Njb0nDYcDecBuBE/ts6REVwhhKhLycnJ8lS0aNR27tzJpA3lEDhQCejy6FuxkEVvvqpuYsIq/Otf/+K/bc6bXz+c48OWLVtUzEgIcb3ZmEwmk0Vv/HYYJOXicbqSTnoveroH0yU8iqioKDp37oyLi0td5ypEnRo9/hnWnn8cPDsqgeOf8/6jpYwcMVzdxITVKC8v5yWfm1lc3g2AD0mn05436N69u8qZCSFE42Sz4QFsU/IJLHQi1q41Pdt0IjoqmqioKAIDA+XYDGHVMjMziR6ykLK45UrAqKetZjSHty7Dw8ND3eSE1Vi2ZCkDnvqFjngCMKbHKdbs/kbdpIQQ143lTT1mXxowGCH9PGhysEnKwy/flmibVvT0CSMmSmn2BQcHY2dnVxd5C3FdLX93BZO2BEPAHUqg4DCT233Kkrfn/P0vFOIPZj37IlMWnKUlzlRhYOr9lSz/7EO10xJCiEbpT/VpYQUk5YImB+djxYTomtPduS1xIZFE1dSnnp6equQqxJUoKSkhdsB4MjsngJ0TAC77nibxkycJDQ1VOTthTUpKSnjV91beqlBuOq8mhV6H3yEqKkrlzIQQ18PVN/Uup6wKkvNAk4PDUS3ty1zp6hBAj3YR5mKqVatW15KzENfVjh076DfjMKbIKUpAl8cthc/z/RdrpCktrtjp06fZGDSEF0wxALxue5DRWV/SunVrlTMTQojGx+L69HQRaJRmn9eZajobWtLTowNdOiu1aadOnXBycqrbZIWwkNFoZMADY/nebS64Kn9vsjnyDltndeT2229XOTthjV6c8BTT3i3CA0d0VPPSY7Ys+nC12mkJIa4Di5t6Q6aM4mD1GU646zCEt4SoVtDZB5ztLftKOaXmYsrthI5Oek96NGtP105RREZGEhERgZub27V8FiGuWEZGBjEPLaYsbpkSMOoJ0owicetyGWsQV+3Ju/+Ppf9zxx5bcihnxbR2vDz3NbXTEkKIRqfP+Ac4Yp+P1t8RonyV+rSthX9+6w2QVgCaXGyS8wjQOhBt40dPvzBiakZ4g4KCsLWVvXKifj077WUWpN0H3l2UwJntLLw9haenTFQ1L2G9MjMz2dzhMZ5CeTpvpv0Bppz9Bm9vb5UzE0JcK4ubehdUV1dz7NgxNBoNickafs9PI8kmlxxfILKmmAr2AlsLzjAxmiDjvNLsS87FNwciTT708u5ITIRy5zQ0NBR7ewsbh0JcgeLiYmIGTOBERALYOQLguu8pEj+dSEhIiMrZCWv266+/cvrGWTxMBwAmue/nrdyfcXZ2VjkzIYRonLRaLUlJSWg0GvYdS2JfxSnSnYuoCPGobfZ5Wvh7cEllzQhvLo5phQSXuxHnFEj39rVTJ/IXYVFXNny0kWHrHCB4iBIoOsZj7sv4YNViOSNSXJNx/e9nxXZvbLEhi1I+ei2CF2a8pHZaQohrdMVNvcspKysjOTkZjUbDgVQNe0pPcNRRS2k719piyreZZRerqIYjygivXUoBQcUudLFvQ4/AcPPhx23atJE/2MRVMxgMDHhwHNvd54GLLwA2ycv47pVw+vfvr3J2wtqZTCbGdL6VhKNhABwgn8Nr72JkfLzKmQkhRNNhMpk4ffo0Go2Gw5rD7D5zlEOGs5z2rMTY2VupT8N9wNHCozbOlpinTpqfqiS82osebsF0lcVx4jrZu3cvvSd+Q3XsLCVQVUzX0xP47esEHB0d1U1OWL0ffviBkn5vcC/tABjvdYClOb/i4OCgbmJCiGty3Zp6l5OTk4NGo0Gj0bDnZDIH9Gc43qwMfacWSjEV4QuuFv5GUlBuLqZcM0vpWOlBd5d2dOuoHH4cGRlJ8+bN6/LjiEbimRdfZmH6YPCOVQJZ21g0IJWnJstYg7g+Nnz4IWHDP6c7StN4VMgREtJ2yc0IIYRQWVVVFWlpaWg0Gg4la9itTSfZNp98P1vlJnSUL7T3suxiBiMcU6ZObJJy8cu3JYpW9PINIyZSFscJy2VnZxN598to42rOOTMZ8TkwmuRv3sTHx0fd5ESjYDKZGBPch4QTkQD8yjlOf/IIDz/8sMqZCSGuRZ039f6KwWAgMzNTGeFN0rA7NxUNuZxtacAU6aMUVKEtwM7CM0yOa83NPu9zRiKM3vT0CiU2Qmn0hYWFyd0tYfbhho8Yvt4Jgh9UAkXpDGv+DutXLpKGi7huqqqqmOp7I8uLugLwXzLx/XEmN998s8qZCSGE+CvFxcXmEd4D6cnsKT9BmmMh5cFutVMn3q6WXaxcD8nKCK/D0fO0L2tGVwd/egTJ4jjxZzqdju7/Gkty8EpwUCabHA7OYO/qIcTExKicnWhM1qxeTc9x3xFFCwBGRx0j4fB2lbMSQlwLVZp6l6PT6UhJSVGKqRQNe0oySbE/T1GgU20x1cbdsotVGeBoPmhysD2ST6DWkRi71vRs08k8wtu2bVtp4jQxe/bsofek7zDEzlACVUXEZU3ily1rpPErrrvXZ81m9GvHaI0rBoxMGFjIim/+o3ZaQgghLGQymTh79qx5hHfPqZQ/LI7zVRbHuVg4dZJbVnNeXw5uJ8rpWOlJj2bt6BamNPpkcVzTYzKZGDJsAp8ZXwD3ICWY9gGfTXLn/vsHq5ucaHR0Oh3TfG5icVk3ADaQTtieN+jevbvKmQkhrlaDaupdTkFBgXmEd29mMvsqT5PhWkJVR0+lmIr0BXcnyy5WWGEuppyPFROicyfOqS1xIZHmO6deXhaOXAircubMGSLvmU1h3ColYDLie3A0SV/LWIOoGzk5Oazwv5uXDcr2urc4zJDjH9OuXTt1ExNCCHFNLlkcl/RXi+N8oUMLyxfHXTR14ptbsziupSyOawrmzH+bGb/1Ar8+SiDnd2Z2/YFXZ8kCA1E3Zj03jclvZ+ONM1UYmHp/Jcs/+1DttIQQV8kqmnp/xWg0cvLkSaWY0hxm97lUDpvOkeWlx9TZW3mqL6wlOFh4hsnpInMx5XVGT3h1S3p6dKBLZ6WYCg8Px8nJwsahaHB0Oh1xA8dyJGQV2CujM44HXmJvwv8RHR2tcnaiMZv88Eje+rc9TtihpZK3Jnszd8nbaqclhBCiDvx5cdxxjjoUUtrOpfa8vlYWPolXUQ0peaDJrVkc56wsjguQxXGNxebNX3HvwjwIG6UESrO42/AaX368Qv5/FXUmKyuLDW0f4EVTLABzbA8xKmsTrVu3VjcxIcRVsdqm3uVUVlZy9OhRNBoNB49o2FOUwRG7As63sa8d4W3rYdnFqo2Qmq8cfpych/95e6Jt/OjpF0ZMVDSRkZG0b98eW1sLz/4TqjCZTDww7Em+ME0Dt7ZKMG09n01qLmMNos4dPHiQxK5PMxJlE+5Ul/28lvcjzZpZuA1cCCGE1bt4cdzek0c4oM8i07UMfZhX7dRJMwuPATmvA00OaHJxzSghtNKDHq7t6BoSYV4c5+FhYa0rVJOcnEzXEeup6vamEqjWEZY2lgNbV+HqauHZjUJcpSfvGcrSr9ywx5ZcdKyYFsSsua+pnZYQ4io0uqbe5RQWFpoPP953LIm9upOkOxdTEdK8ttnn6WzZxUoqITkPNDk4phUSXNaMbo6BdG9fe/ixjHM2HK/Pe4uZv98Ifr2VQM5vzOq2k9kzp6mal2g6Rne9nYSDwQAcQcuP79zC+CefVDkrIYQQajIYDBw/frx26iQ3jcOmczWL42pGeDu2tHxx3IlC8xEzLc8a6GzwppdXCLE1UyeyOK7hKCgoIHLgVM7FrgVbZarIY9/jaDbNIDAwUOXsRFPw22+/cbL3TP6PDgBMct/PW7k/4+xs4d+HhRANRpNp6v0Vk8lEVlaW+fDj3WeOcsiQzSmPSoydvZViKtwHHC0c4T1bYh7hbX6qgk56L3q6B9Olk1JMde7cWe681TNlrCEfwuKVQOlp7jG+zqaNMtYg6s9nn32Gz4PruRllrGF0oIbVJ36Wp3yFEEL8ycWL4w6maNhdnEmKfUHN4riaEV7/5pZdrMpgnjqxPZJPgNaRWDs/eraWxXFq0ev13HTXaHa3XgJOyjnetonz+XlRX2644QaVsxNNhclkYkzErSSkKJMkB8knce1djIyPVzkzIcSVatJNvcvR6/WkpaWh0Wg4lKxh9/l0km3yyPOzrX2qL9jCZRoGIxw7rzT7knJpnW9LFL709AkjJlJp9nXo0AE7Owsbh8JiSUlJdBu5gapu85VAdTmd0sex/1sZaxD1q7q6momte7MiX1mYsYVT2H/7FAMGDFA5MyGEENbiksVxGUnsrzrNMZdSqjp6KLVppC80t/D856ILi+NycU4vooOuOd2dA4nrIIvj6tqYJ58loWAseCrNFE5sYu3QIuJHjlA3MdHkfLRhA6HDPqMHvgCMDklhTdqP0uQXwspIU+8KlJSUkJSURFJSEvvTNOwpO0maUyFl7ZvVNvu8LWwWleshWSmm7FO1tC91oYu9P93b1h5+7OfnJ7+pXqWCggIiBk4l5w9jDUlfziQgIEDl7ERT9Pb8Nxky7RBBuAMw9qazrN61WeWshBBCWLOLF8cd1hxmz7lUEo3nyPKswhjho9SnnbwtXxyXVWw+r8/rTJWyOK55B2LDI82L42Q87+q9895KJn4VBIEDlcB5DZPafsLSBXPUTUw0SVVVVTzd6kbeKewKwGccx3vndPr27atyZkKIKyFNvWtkMpk4d+5cbTF1KoWD1Wc44a6julMLpZjq7AMuDpZdMK/MPMLb7HgZYVWedHdtR7ewKPPhx25uFm5Na6L0ej19Bo1mT5ul4OQJgG3iXH5ZfBu9evVSNznRZGm1Wt5udQdz9ErhtJxkbj+aQFhYmMqZCSGEaGwqKytJTU1Vpk6OaPhde4wjdvk1i+NqRniDPC27WLUR0gogSVkc16bAjmibVvT0VRbHRUVFyeI4C+zcuZPbph/CFPmUEtDl0Vf7PNs3rZGJHaGaOS+/SvyrabShGQaMPHmHlpVb/6t2WkKIKyBNvTpiMBg4duyYcvhxkobf89NIssnlnI9JGY+I8oUOLcDWwifxMs6bm30+OSYiTb70ahlKTITS7OvYsSP29vZ1+6GsxOjxz7D2/OPg2VEJHP+c9x8tZeSI4eomJpq8Z0Y9wavvV9EMB0rRM3uMC2+tfkfttIQQQjQRlyyOS09iX8VJ0pyKqQhxr232eblYdrHSKvPUiWOaluBSN7o6BtBDFsf9SWZmJtFDFlEWt0wJGPW01Yzm8NZlsqlYqCo3N5d32wziFYNy0/ltDvPg8Y9p166duokJISwmTb16VlZWxpEjR9BoNBxI1bCn5DhHHbSUBLnUjvD6WfgkXkU1pOSBJhe7lHzaFjnTxb4NPQJqR3j9/f2b1Ajv8ndXMGlLMATcoQQKEpnc7t8seVvGGoT6UlJS2Nl5HOPpDMCLjvt5Med7PD091U1MCCFEk/XHxXF7zhzlYHU2pzwqahbHtYJwb3Cy8ObxuVLzCG/zUzo66VvQw609XZvo4riSkhJiB4wns3MC2ClnHrrse4rETyYQGhqqcnZCwOT/i+etT+1wwg4tlbw1uSVzlyxQOy0hhIWkqddA5ObmotFoSEpKYs/xZA5UZZHRrBR9mJfS7Iv0hWaOll3svK7m8OMcXDJKCK3wIM65LXGhtYcfN8a7gjt27KDfjMOYIqcoAV0etxQ+z/dfyFiDaDjG3HgXa371B+A4xWx6K46nn31G5ayEEEKIS+n1etLT05Wpk2QNvxekk2STS14rm9qn+jq0sOxiRlPN4rgcSMrFL8+WKJtW9PLuSEykcrxMSEhIo6vXjEYjAx4Yy/duc8G1FQA2R95h66yO3H777SpnJ4Ti0KFDHOzyFPEoR8JMdd7Hq3k/ypFPQlgJaeo1YEajkePHjyvFlOYwu3NTOWzKIbtFNaYLI7wdW4KdhWeYnCw0j/C2yK6ms8GbXl4hxHZWGn2dOnXC0dHCxmEDk5GRQcxDiy8ZawjSjCJx6/JG2cAU1uvrr7/GbtByBhAIwDifg7x39rdG9xcZIYQQjVNJSQnJycloNBr2p2rYW36CVMcLi+Nqmn0+zSy7mE4PR5SpE/uj52lXoiyO69FIFsc9O+1lFqTdB95dlMCZ7Sy8PYWnp0xUNS8h/mh0tztIONAegBS07FjWlycnTlA5KyGEJaSpZ4UqKipISUlBo9FwMEXD7uIMUuzPUxjgWHNeXysIaG7ZxaoMkJoPmlxsk/MIKHQkxtaPnq07mYupoKCgBl1MFRcXEzNgAiciEsBOaUq67nuKxE8nEhISonJ2QlzKaDTyeOCNrM6OBmAH2RR9MZr77rtP3cSEEEKIq/THxXF7T6VwQH+GE+7lNYvjWkHEFSyOyy83j/A2O15Gx0pPergGWdXiuA0fbWTYOgcIHqIEio7xmPsyPli1uEHX1aJp+vzzz2n5wPv0pQ0AYwIOs+rkL7IARwgrIE29RuT8+fNoNBo0Gg17M5LYX3maYy4lVIZ61J7X19zJsosVVdSM8ObilF5EiM6dOKdA4jrUjvC2aGHhyEUdMhgMDHhwHNvd54GLLwA2ycvYNrsz/fr1Uzk7If7a8qXLuH3Kz4ThCcDouBMk7N2qblJCCCHEdfanxXF5qX9YHNcKQq5gcVym1tzsUxbH+dCrRe3iuNDQUBwcLGwc1qG9e/fSe+K3VMfOVAJVxXQ9PYHfvk6w2qkY0bgZDAaebH0DK/OUp0q/5hS230xh4MCBKmcmhPgn0tRr5EwmE6dOnTLfOd199iiHDOfI8qzEGOGjNPs6eYODhaN/Z4rNI7yeWVWEV7egh3swXcJrDz92dnau2w91kWdefJmF6YPBO1YJZG1j0YBUnposYw2i4SopKWG27628XdENgASO0j1xGdHR0SpnVr/y8/PZsmULWq0WLy8vBg0ahLe3t9ppCSGEqGNlZWXmqZMDRzXsKcnkqIOW4rbOtSO8rd0tu1hlNaTkgyYHu5QCAgudiLVvQ0//2qmTgICAens6Ljs7m8i7X0Ybt1oJmIz4HhhF0jdvyTZg0aAtePMtHnjhIO1QvvfG9MlmzU9fqZxV/ZLaVFgjaeo1UVVVVaSmpqLRaDh0RMPv2mMcscunoLVdbTEV5GnZxaqNkF4AmlxsknJpXWBHtI0fPX07ElNTTAUHB1/3x7c/3PARw9c7QfCDSqAonWHN32H9ykUy1iAavGkTn+bFdwrxwJEKqnlhKCzZmKB2WvVCq9UydepUNm7cSFVVlTnu5OTE0KFDWbRokWwEFkKIJigvL6926uR4MvurTpPhemFxXCvl6T43C5900+rMUycuGSWE6Nzp7hxUp4vjdDod3f81luTgleCgnCvocGA6+xIebnI37oT10Wq1vNXqdubqlZvOy0mmf8oaOnXqpHJmdU9qU2HNpKknLlFUVERSUhIajYZ96Uns1Z0k3bkIXQf32jGJFi6WXay0CpKVYsohVUtwWTO6OgTQo32EuZjy9fW9qjz37NlD70nfYYidoQSqiojLmsQvW9bIWIOwCpmZmXzZ4TGeJgqAl+0OMPHs143+Lr5Wq6Vv375oNBoAYmlJOJ4coZBECgCIiopi165dUjwJIYT48+K4nIsXx/kotWnHlmBv4c3jU0XmEV5lcVxLenle++I4k8nEkGET+Mz4ArgHKcG0D/hskjv33z/4iq8nhBqeGT2eV9dW0gwHStHzymhn3l7zrtpp1SmpTYW1k6ae+Ecmk4kzZ86YR3j3ZKVwsDqbUx4VGMK9laf6OvuAk71lFzxXai6m3E/p6KT3okez9nTtVDvC26zZ5bemnTlzhsh7ZlMYt6omQSO+B0eT9PWbjb4hIhqXx29/gPe+b4ktNpyhjA9md2LarBlqp1Wn4uPjWbduHa1x5VP6cROtzT/3E2d5mO2cpZz4+HjWrl2rYqZCCCEasksWxx25aHGcv0Pt1EmghU/i6Q2QWgCaHGyT8wnQOhBt25percMsXhw3Z/7bzPitF/j1UQI5vzOz6w+8Ouul6/BphagfR48e5YfwMTxJBAAvOu7nxZzvG3UzS2pTYe2kqSeuWnV1Nenp6cqd02QNvxekkWSTR64vtcVUBwuXaRhNkHFeOa8vKZdWuRBp8qWXd0diIpVmX0hICHq9nriBYzkSsgrsXQFwPPASexP+T8YahNXZsWMHRbfN5z7aAfCk5wGW5P7aIA75rgv5+fn4+/tTVVXFLu6+pGi64CfOcjNf4eTkRFZWlpxjIoQQ4oqcP3++duokI4l9FadIdy6uWRxXU596WHj+c3FlzQhvDk7pRXQod6ObU1u6B9dOnbRs2ZLNm7/i3oV5EDZK+XWlWdxteI0vP14hR8IIqzOmz12s+cUfgOMU88Wb3Zj63LMqZ1U3pDYVjYE09cR1V1paSnJyMhqNhv2pGvaUnSDNqZDSdq61xZTP5Z/Eu4ROD0fyQJOLXUoBTidtKG+5EqrDABtIW89/J7rzwAP31+lnEqIumEwmxobczJrMzgD8Tg7HNz7M0KFDVc6sbqxfv56RI0cSS0sO8sBfvseEiS58TiIFrFu3jhEjRtRzlkIIIRqbPy2Oyz5KouEspz2rMEZ4K/VpJ29wtHBxXHZJ7dTJyXJKcnuC93yotodqHR1Tx3Dwu9W4urrW7QcTog5888032Ny5jIEEAjDO5yDvnf0NOzsLvz+siNSmojGwcF5SCMu5ubnRs2dPevbsyZiamMlkIicnRymmPjzMnpMpHNRncdytnOpOLZRGX4QvuP7hCSUXB+jWBrq1wQCUA/AplLrAcWfYuY3hPxUxZ/s6uru2o1tH5fDjyMhI3N0t3JomhEpsbGzo/dJIEsd8Qwwt6UUrVs9Z3WibelqtFoBwPC/7HhtsCMeTRArM7xdCCCGuhY2NDUFBQQQFBXHXXXeZ45csjvu3ht3aFJJtLyyOqzlLup3nny/Yxl35MSCEkgsx41zIbQEHjpO+O5vQ5+8h2qYVPX3qdnGcENfbgAEDGBfwKgOzlKbe0LxWbN68mcGDG9/ZkFKbisZAmnqiXtjY2ODn54efnx+33367OW4wGMjIyFBGeL/WsDvvKBpyOettrFnM4QshLcDuDwWQmw6idBAVRzlwsOYHmUdAswOW5OKdYyLS6E3PFqHERigjEh07dmy0o43COj3y6KO88NR7LCltCUC/ZBt+//13evXqpXJm15+XlxcAKRRe9j0mTOafv/B+IYQQoi44Ojqax2gfuShuXhz3rYb9FxbHORVRHuxWO3XS8g9P4dmawK8A7myO6c5byAaygW/LqiD5G/hxHQ6rLloc1+7aF8cJURdsbW3p+sJjHJ20i054cittGDNnRaNs6kltKhoDGb8VDVJ5ebn58ONtP+9kY6kPDHwU/HOgzVnwToVWFp6HUlkNR/NBk4vtkXwCC52ItWtNT/9O5sOPAwMD5cwToZpXXpzOhDdO44MLeoxMuaeMd7/cqHZa111+fj4BAQFUVlbKuSVCCCGsislkIjs72zzC++6WLzl5xxzo6Aj+ueCdBoEl4GzhMxM5peazpN1P6gir8qRHs3Z0DVMafREREX+7OE6IulRaWsrLPrewoKIbAGtJpevBxcTGxqqb2HUmtaloDKSpJxq0/Px8Iv/1DDmxa8FWOceh2W+jef7BINK1Z9hXeZrMZqVUdfRU7pxG+oKbo2UX1+pqDj/OxflYMaEVzYlzbktcSKT5zmlj3vQkGo7s7GzWBQzmJVMsAHNtDjHi9Of4+/urm1gd+OOGsT74YYMNJkz8zDnZMCaEEKLBe+e9lUz8KggCByqB8xoGVr5G1y5h/J5/8eK4mhHeYC+wteDmsdEEmVrlvL4/Lo6LqF0cZ28vw1ai7r00+RmeX1aAJ05UUM0LQ00s2dj4ajOpTYW1k6aeaLD0ej19Bo1mT5ul4OQJgG3iXH5ZfNslo4lGo5ETJ04oI7yaw+zOSeWw8RxnWlRjivBRCqowb7C38AyTU0Xmw49bnNETbmhJT88QunRWiqlOnTrh5ORUB59YNGVP3vcoS750xQFb8tCx/PkAZr8xV+20rjutVkvfvn3RaDQAxNCScDxJoZBECgCIiopi165d0lQXQgjR4OzcuZPbph/CFPmUEtDl0Vf7PNs3rblkkcDFi+MO1CyOS3XUUtquWW2zz9fCJ/EqqmsWx+Vgl1JAuxIXutj70yMw3Dx10rp1a5k6EdfViRMn+Kz9UJ4hGoBX7A4y4ewWfHx8VM7s+pLaVFg7aeqJBmv0+GdYe/5x8OyoBI5/zvuPljJyxHCLfn1lZaV5hPdQShK7izI4YleA1t++9jyUQA/LktEbIK0ANLnYJOcRoHUg2saPnn5h5sOPg4KC5PBjcdV2795NRq+XeIQQACY328cbeT/j4uKicmbXX2FhIVOnTmXjxo1UVlaa405OTjzyyCMsXLhQiiYhhBANTmZmJtFDFlMWt1QJGPW01Yzm8NZleHj8c0158eI4jUbDnhPJHKw+w/Fm5eg7eSn1aYQPNLNw6qSgXBnh1eTgmllKx0pPetQsjouMVH40b978Gj6xaOoeH/Ag737nhR22ZFPGupfDeOmVmWqndd1JbSqsmTT1RIO0/N0VTNoSDAF3KIGCRCa3+zdL3p5zzdfWarXK4ccaDfsyktirO8Uxl2IqQprXNvs8LDyvr6TSPMLrmFZIh3I3ujkG0j249vBjOXdBWGp05G0kJIcCkEgB+1YPZPSYMf/wq6xXfn4+W7ZsQavV4uXlxaBBg+T7RQghRINUUlJCzIAnOd45AeyUppvrvqc59MmThIaGXtO1DQYDmZmZytRJkobduakcNuVwztuIKdJHqU9D/2Jx3OUc15rP6/M+Z6CzwZteXrWL48LCwmRxnLDIjz/+SMEtc7if9gBM8DzAopxfcHS0sPFsZaQ2FdZImnqiwdmxYwf9ZhzGFDlFCejyuKXweb7/4tKxhuvJZDJx+vRp8+HHu7OPcshwltOelRjDvZVGX7gPOFr49bNLzCO8Hqcq6FTdgh7uwXQNV4qpzp07N8onsMS1+fjjj2n/yKf0ohUAo9onk5Dxk4zTCCGEECoyGo0MeGAs37vNBVflz2ib5OV890on+vfvX2dfV6fTceTIEWWEN0XDnpJMjtqfp6itc+0Ibxt3yy5WZahZHJdz6eK4NrI4TlyeyWRiTOjNJGR0BmA3uWR8NIRHHnnkH36lEKK+SFNPNCgZGRnEPLSYsrhlSsCoJ0gzisStyy0aa7jeqqqqSEtLU0Z4kzXs1qaTbJtPvp9t7VN97S1cbW4wQvp50ORgk5yHX74tUbSil28YMZFKsy84OLjOGpei4dPr9Uzx7c27hV0B+ILjeP4wjVtvvVXlzIQQQoim69lpL7Mg7T7w7qIEzmxn4e0pPD1loir55Ofnm0d492Yms7/qNBmuJVR19FJq00hfcLfw/OfCipqpkxycjxUTomtOd1kcJy7y/tq1dBm9hViUJ9ZGd04jIXmHylkJIS6Qpp5oMIqLi4kZMIETERePNTxF4qcTCQkJUTm7SxUXF5tHeA8cS2ZP2QnSnAopD3arbfa1dLXsYuV6SFZGeB2Onqd9WTO6OvjTvW1nczHVqlUruXPaRMx79XWGv3wUf5phxMQT/fNZte1ztdMSQgghmqQNH21k2DoHCB6iBIqO8Zj7Mj5YtbhB1WZ/XBy3NyeNRONZsrz0NYvjWkFYS3Cw8Obx6SLzeX1eZ6rpbGhJT48OdOkcRWRkJOHh4bI4romoqKjged8+LC3pBsDHHKP9b3MuWVwohFCPNPVEg2AwGLjjgbH80Hw+uPgCYJO8jG2zO9OvXz+Vs7OMyWTi7Nmz5hHePadTOFh9hhPuOgzhLZViqrMPONtbdsHcMvMIr9uJMsKqvOjRrB1dw5RGX0REBG5ubnX7oUS9y8vLY3nrO5ltUJ7WW8hh7sv4iODgYJUzE0IIIZqWvXv30nvit1TH1iwGqCqm6+kJ/PZ1gtWcKVZZWcnRo0fRaDQcPKJhd+ExUuwKOO/vUDvC29bCaZhqI6TmK4vjjuThf95eWRzXqnZxXLt27WRxXCM0e9oMxs8/hS8u6DEy5Z4y3v1yo9ppCSGQpp5oIJ558WUWpg8G71glkLWNRQNSeWqyOmMN11N1dTXHjh1T7pwma/g9L40km1xyfFHGI6J8oUMLsLXgbq/RBJlac7PPNxciTT708u5ITM3hx6GhodjbW9g4FA3SlEdG88bH4Iw9hVQyf4IX85cvUjstIYQQosnIzs4m8u6X0catVgImI74HRpH0zVv4+Piom9x1cMniuGNJ7Ks4RbpzERUhHrXNPs8rWByXnAeaHBzTCgkucyPOKZDu7WVxXGORnZ3N+wGDmW6KBWCeTSLDT3+Gv7+/uokJIaSpJ9T34YaPGP6BM7R/QAkUpTOs+TusX7moQY01XG9lZWUkJycrI7ypGvaUHueoQyGl7VxqR3hbWfgkXkU1HFGKKbuj5wkqdqaLfRt6BISbDz9u06ZNo/732ZgcPnyYvTGTGE0nAJ5x3scruTtxd7fwMGwhhBBCXDWdTkf3f40lOXglODQDwOHAdPYlPEx0dLTK2dWdPy2OO3PR4rjOV7E47myJeYS3+alKwqu96OEmi+Os1YTBj7F4kwsO2JJPBcue82f2m3PVTkuIJk+aekJVe/bsofek7zDEzlACVUXEZU3ily1rrGas4XrLycmpPfz45BEO6LPIbFaGPsxLafZF+EAzC//dFJTXHH6ci2tGCaGVHvRwbUfXEOXOaWRkpCoLSMQ/G919AAn72gGQSiHblvRh4uRJ6iYlhBBCNHImk4khwybwmfEFcA9Sgmkf8Nkkd+6/f7C6yalEr9eTmppKUlKSsjjufDrJNnnk+dnWPtUXfAWL446dV0Z4k3IvWRwXHaEs5+jQoYMsjmuA9uzZQ3rPF3mUUACmNNvP/LyfpDErhMqkqSdUc+bMGSLvmU1h3ColYDLie3A0SV+/2SjGGq4ng8HA8ePHzYcf785L47Aph7MtDZgiaw4/Dm0BdhaeYXKi0DzC2/KsgQijNz09Q4itGeENCwtrsk3VhmLTpk14DE7gVtoAMKZNIqtO/yrn1AghhBB1aM78t5nxWy/w66MEcn5nZtcfeHXWS+om1gAVFxebp072pyWxt/wEqY4XFsfVNPu8r2BxXM3Uif1RLe1LXehiH0CPoNqpE1kcp77RUbeRkKQ09Q5TwN7VAxk9ZozKWQnRtElTT6hCp9MRN2AMR0JXg73yh73jgZfYm/B/jXqs4XrT6XSkpKQoI7wpGvYUZ5JiX0BRoFPtCK9/c8suVmWAo/mgycH2SD6BWkdi7FrTs00nczHVtm1bKabqicFg4Mk2vVmZGwvAt5zGuGUid955p7qJCSGEEI3U5s1fce/CPAgbpQRKs7jb8BpffrxC6h8L/Wlx3Kk/Lo7zVRbHuThYdsG8MvMIr9uJcjpWetKjWTu6yeI4VXzyyScEDf2EG2gFwOj2yazJ+Em+P4RQkTT1RL0zmUw8MOxJvjBNA7e2SjBtPZ9P9mDw4PtUza2xKCgoqB3hzUxmf+UpjrmUUtXRQ2n2RfpCcyfLLlZUYR7hdU4vooOuOd2dA4nrEGk+/NjLy8KRC3FFFr29gHuf20cwSmN2zI1nWPPz/1TOSgghhGh8kpOT6TriA6q6vaEEqnWEpY3lwNZVuLpa+LSZuKxLFsclafg9/6LFcRE1UychFi6OA8g4b272mRfHtZTFcXVNr9czpVVv3tV2BWATJ/D44UVuvfVWlTMToumSpp6od6/Pe4uZv98Ifr2VQM5vzOq2k9kzp6maV2NnNBo5deqU+c7p72dTOWw8S5aXHmOEt1JMhbUEBwvPMMkqNo/wemZVEV7dgp7NO9Cls1JMhYeH4+xs4dY08ZcKCwuZ36o/86u6AfAuydx6ZDXh4eEqZyaEEEI0HgUFBUQOnMq52LVgq9RBHnsfR/PlDAIDA1XOrnG7sDguKSmJA0cvLI7TUhLkUjvC63cFi+NS8kCTi11KAUHFzsTatb5kcZy/v788VXaN5r82h8dmHSEAN4yYGN+/gJXbPlM7LSGaLGnqiXqljDXkQ1i8Eig9zT3G19m0UcYa1FJZWUlqaioajYZDRzT8XniMI3YFnG9jrzzRF+ULQZ6WXazaCGkFoMnBJjmPNgX2RNu0omerMGJqiqn27dvLuXBX4LmxE3h5jQ43HChDz6x4RxasXaF2WkIIIUSjoNfruemu0exuvQSclMkD28R5/LL4Vnr16qVydk1Xbm6ueepkz/HkPyyO81VqVEsXx53X1Uyd5OCaUUpIRXO6uwQRFxopi+OuQn5+Pktb/4tXq5Wn9Rah4d6MDQQHB6ucmRBNkzT1RL1JSkqi28gNVHWbrwSqywlPG8u+ratlrKEBKiwsJCkpCY1Gw770JPZVnCTNqZiKEPfa8/q8LNx2VVplLqYc0woJLmtGN8dAurePMI/wynKUv5aamsq2TqOZSAQALzns57mcbTLyLIQQQlwHY558loSCseAZpgRObGLt0CLiR45QNzHxJ0ajkczMzNrFcblpHDadq1kcV3MjumNLyxfHnSw0j/C2PGugs8GbXl4hxHaWxXH/5KnHxjDvIxMu2FNEFfMneDJv+SK10xKiSZKmnqgX+fn5RP7rGXIuHmvY9zhJX84kICBA5eyEpUwmE1lZWbWHH585ysHqbE55VGDsXDPCG+4NThaeYXKu1DzC2/yUjk76FvRwa0/XTkox1blzZ2n4AmNvvofVP7UG4CQl/GdeLM+++LzKWQkhhBDW7Z33VjLxqyAIHKgEzmuY1PYTli6Yo25i4opcvDjuYIqG3cWZHHU4T2GAY83USSsIsHBxnP7C4rhcbJPzCCh0ItbOj56tZXHcxTQaDbujJzKGTgA867yfl3N34O7urnJmQjQ90tQTdU6v19Nn0Gj2tFkKTp4A2CXO42cZa2g09Ho96enpyghvsobd59NJsskjr5VN7XkowRY+WWY0wbHzSrMvKRe/PBsiTb708gkjJlJp9oWEhGBnZ+HZf43A1q1bMQxczJ0oi2We8D7I8rO/ygHQQgghxFXauXMnt00/hCnyKSWgy6Ov9nm2b1rTpGqMxqygoMA8dbI3I4n9lac55lJCZahHbX16DYvjujkF0P2ixXEtWrSo2w/UwIzuMZCEvUEApFHI1sU3MmnKZJWzEqLpkaaeqHOjxz/D2vOPg2dHJXD8c95/tJSRI4arm5iocyUlJSQnJ6PRaNifpmFP2UnSnAopa9+s9rw+n2aWXaxcD0fyQJOD/dHztCtxpauDP93b1h5+7Ofn1yjvnJpMJsa2vZE1WVEA7OIsef8dwQMPPKByZkIIIYT1yczMJHrIIsrilikBo562mtEc3rpMzlZr5EwmEydPnjRPnew+e5RE4zmyPKswRvgotWknb8sXx50pNo/wXrI4LrzxL4778ssvcb9vNbfhD8DYNomsPP2rnJ0tRD2Tpp6oU8vfXcGkLcEQcIcSKEhkcrt/s+RtGWtoqkwmE+fOnTMXU3tPpXBAf4YT7uVUd2qh3DWN8AEXB8sumFdmLqaanSinY6UnPVyD6BYWZT782M3Nwq1pDdh7777LLRN2Eo7yxOPoLpkkHNimclZCCCGEdSkpKSHmjic5HpEAdsp5aa77nubQJ08SGhqqcnZCLX9aHKc9xhG7fGVx3IWzpK9kcVx6AWhyaxbH2SmL43wb1+I4g8HA+Da9WZUbC8BWTlP9vwkMGjRI3cSEaGKkqSfqzI4dO+g34zCmyClKQJfHLYXP8/0XMtYg/sxgMHDs2DHl8OMkDb/npZJkk8s5H1PteSghLcDWwifxMrXm8/p8ckxEmnzo1SKUmAil2RcaGoqDg4WNwwagrKyMWT59WaDrBsA6Uok5sIguXbqonJkQQghhHYxGIwMeGMv3bnPBtRUANsnL+e6VTvTv31/l7ERD9LeL4y7Upy2uYHFcsjLC65imJbjUja6OAfSoWRwXGRmJr69v3X6g62zxgoXc8+xeglHOLBx9QxYJv25ROSshmhZp6ok6kZGRQcxDSyiLW6oEjHqCNKNI3LpcxhrEFSkrKzMffnzgqIY9pcc56nCe4rYuteeh+Fn4JF5lNaTkgyYHu5QCAgud6GLfhh7+tYcfBwQENNgR3pemPMtzS/PxwolKDDz3UDVLP12ndlpCCCGEVXh22sssSLsPvGtuiJ3ZzsLbU3h6ykRV8xLWxWQycebMmdrFcVkp5sVxhnBvpT7t7HNVi+PcT+nopPeiR7PaxXERERENdnFcUVER83z7Mb9Kuen8Hkfom7ySzp07q5yZEE2HNPXEdVdcXEzMgAmcuGSs4SkSP51ISEiIytmJxiIvLw+NRoNGo2HP8WQOVJ0mw7UUfZiX0uiL9AU3R8suptWZR3hdMkoIrWhOnHMQcaGR5junnp6edfp5LHHy5En+0+7/eJZoAGbbHeSJM1/RqlUrlTMTQgghGrYNH21k2DoHCB6iBIqO8Zj7Mj5YtbjB3swT1uXixXGJyRp+L0gnySa3ZnFczQhvBwuXaRhNkHFeqU8vXhzn3bHBLY57btxEZq0uwx1HytAzc6QDC99fqXZaQjQZ0tQT15XBYOCOB8byQ/P54KI8Pm6TvIxtszvTr18/lbMTjZ3RaOT48eNKMaU5zO6cVA6bcshuUY0p0kcpqDq2BHsLzzA5VWS+c9oiu5rOhpb08gwhtrNSTHXq1AlHRwsbh9fJE/8awjvfemKHLWcpJ2FmCDNefblecxBCCCGsyd69e+k98VuqY2cqgapiup6ewG9fJ9T7n+Oi6blkcVyqhr3lJ0h1rFkcd6HZZ+niON2FxXG5NYvjXOhi708PFRfHpaWlsTUsnklEAvCS/X6ezfmuyW0DFkIt0tQT19UzL77MwvTB4B2rBLK2sXhgGlMmTVA1L9G0VVRUmEd4D6Zo2FOcSYp9AVp/x9oR3oDmll1Mb4DUAtDkYJucT4DWgWjb1vRqHUZUzZ3ToKCgOjv8eNeuXeT1fZ0HaA/ARI8DLMz9Rf5SIoQQQvyF7OxsIu6eRWHcGiVgMuJ7YBRJ37yFj4+PusmJJusvF8dVZXHCXVezOM4XInzB1cLzn/PLzTeimx0vUxbHNQuiW8faEV53d/c6+zxj+97L6l1+AJykhH/PjeG5aS/U2dcTQtSSpp64bj7c8BHDP3CG9g8ogaJ0hjV/h/UrF8lYg2iQzp8/X3v4cUYSeytOc8ylmMpQj5rDj33Bw9myixVXQpIywuuYVkSIzo1ujoF076CM8EZFRdGyZctrztlkMjGmY18SjoUDsJdcUj+4n8eGDbvmawshhBCNiU6no/vAMSR3WAUOypNQDgemsy/hYaKjo1XOTog/MxgMZGRkmBfH7c5LRUMuZ72NtbVpSAuws/Dm8UWL47xzTEQavenZIpTYmsVxHTt2vC6L47777jv0AxYxiLYAPN7yAO+c+w17ewvPFRRCXDVp6onrYs+ePfSetA1D7HQlUFVEXNZEftkiYw3CuphMJk6dOmW+c7o7+yiJhrOc9qzCGOGtPNXXyRscLTzD5Eyx+bw+j9OVhFe3pGfzYLqEK8VU586dcXa2sHFYY9377xMz6n90wRuA0Z1SWXNkhzTPhRBCiBomk4khwybwmfEFcA9Sgmkf8Nkkd+6/f7C6yQlxhcrLyzly5IgydXJUw+6STI46aClu61w7wtvawifxKqvhaD5ocrE7kk9gkROxdm3oeQ2L40wmE2ODbmTN6SgAdnGW3P8M58EHH7yajyuEuALS1BPX7MyZM0TeM5vCuFVKwGTE9+Aokr6WsQbReFRVVZGamopGo+HQEQ27tcdIts2noLVd7QhvO0/LLmYwQvp50ORgk5RH6wI7om1a0dOnIzE1xVRwcPBlR3grKip4zrcPy0qUTWOfkkHgL6/Su3fv6/RphRBCCOs2Z/7bzPitF/j1UQI5vzOz6w+8OusldRMT4jq6eHHc3uPJ7K86TWazMqo6el7d4rikXNDk4pJRQojOne4uQcSFWLY4bsV773HzkzvojBcAo2IzWXtw27V/SCHE35KmnrgmOp2OuAFjOBK6GuyVVeuOB15ib8L/yViDaBKKiorMI7z705PYqztJulMR5R3ca5t9LVwsu1hZFSTngSYHh1QtwWXN6OoQQI92EURGKgXVhU23r02fxbi5x2mFK9UYmXxXCe9+9UkdflIhhBDCOmze/BX3LsyDsFFKoDSLuw2v8eXHK+SpdtHoXbw47nCSRlkcZzzHmRbVmCJ8lPo0zPuaFsf19AyhS83iuLCwMJycnCgrK2OGb18WlSs3ndeRSvT+hXTt2rUOP60QQpp64qqZTCYeGPYkX5imgZtyfgJp6/l8sgeDB9+nam5CqMlkMpGdnW0e4d2TlcLB6mxONtdhCPdW7pp29gFnC88ZySk1j/C6ndDRSe9JpE0rgt87yEyTUii9YZPIIyf/Q2BgYB1+MiGEEKJhS05OpuuID6jq9oYSqNYRljaWA1tX4erqqm5yQqiooqKCo0ePKiO8RzTsLsqoWRznUDvCG+hh2cX0BkgrAE0utsl5+GsdiLbxo+LgKf79Szta4EwlBp4domfZv9fX7QcToomTpp64aq/Pe4uZv98IfjUjfzm/MavbTmbPnKZqXkI0VNXV1aSnpyuHHydr+D0/jSSbPHJ9qX2qL9gLbC14isBowi5Dy10aZ6KTDLTTlDO/aC8P9f4XMTWHH4eEhMgBxUIIIZqMgoICIgc+w7nYBLBVzr712Ps4mi9nyE0vIS7jj4vj9lWc4phLCRUhzWubfZYujiuppG1SOQM0jkRpqtmvSaY83I+bOsdd18VxQoha0tQTV0UZa8iHsHglUHqae4yvs2mjjDUIcaVKS0tJTk5Go9FwIFXDnrITpDpqKW3XrLbZ59vMsotVVMMRZYTXLqWAdiUudLH3p0dguPnw49atW8v3qRBCiEZFr9dz012j2d16KTh5AmCbOI9fFt9Kr1691E1OCCtz3RfHZZeYR3iVxXEt6OEeTNeaxXHh4eG4uFh4XI0Q4hLS1BNXLCkpiW7xH1HVdZ4SqC4nPG0s+7aulrEGIa4Tk8lETk4OGo2GpKQk9pxM5oD+DMeblaHv1EJp9kX4gquDZRcsKDeP8LpmltKx0pMeru3o1jGSyEjlR/Pmzev2QwkhhBB1ZMyTz5JQMBY8w5TAiU2sHVpE/MgR6iYmRCNy8eK4xCNJ/K5N54htPvl+trVP9bX3suxil1kc18O7IzE1T/UFBwdjZ2dh41CIJkqaeuKK5OfnE/mvZ8m5eKxh3ziSvpxFQECAytkJ0fgZDAYyMzOVYipJw5eHf+QhQwDVUT5oohz4OqqS8tDmYGfh4cfHteZmn/c5IxFGb3p6hRIbUXv4sYODhY1DIYQQQgXvvLeSiV8FQeBAJXBew6S2n7B0wRx1ExOiiSguLq4d4U3TkLh/L2M69kYTZc+vUXAgyhZaWvjwR1lVzdRJLg5Hz9O+rBldHfzpERRhHuG9sDhOCCFNPXEF9Ho9fQaNZk+b2rEGu8R5/CxjDUKoRq/XM9mvN++dVxZmbOYk7w9156xnNUftz1PU1rl2hLeNu2UXrTJAilJM2R7JJ7DIiVi71vRs08k8whsYGCgjvEIIIVS3c+dObpt+CFPkU0pAl0df7fNs37RGnvARQiUfrF9PxMgv6YYPAPd6/4rD0LiLFse1VGrTK1kcl1tmHuF1O1FOpyoveri1o2uY0uiLiIigWTMLj6sRohGRpp6w2Ojxz7D2/OPg2VEJHP+c9x8tZeSI4eomJkQT9+aceQydkUQgbhgx8fituaz+YROgPF2r0WjQaDTszUxmf9VpMlxLqOropTT7In3B3cmyL1RYAUnKU33Ox4oJ0TWnu3Nb4kIiiYqKIjIyEi8vC0cuhBBCiGuUmZlJ9JBFlMUtUwJGPW01ozm8dRkeHhZu8RRCXHeVlZU869uHZcXKTed/k4H/z7O58cYb/3lxXKQvdGhh8eI4MrVKsy8pl1a5EGnypZd3R1kcJ5oMaeoJiyx/dwWTtgRDwB1KoCCRye3+zZK3ZaxBCLUVFBSw2G8gr1UrhdMSNAxK/4CQkJC/fL/RaOTEiRMkJSWRqDnM7nOpHDadI8tLjynCRymowrzB3sIR3tNF5hFerzPVhFe3oKdHB7p0rj382MnJwsahEEIIYYHi4mJiB0zgeEQC2DkC4LrvaQ598iShoaEqZyeEeG3Gy4ydk4kfrlRjZNKgYt7736eXff/Fi+MOpiWxp/Q4Rx0KKW3nUnteXys3y774ZRbHdQ+onTpp06aNTJ2IRkGaeuIf7dixg34zDmOKnKIEdHncUvg8338hYw1CNBRPDx/HnA8NuGJPMVW8/rg7b65YekXXqKys5OjRo0oxdUTD7qIMUmzzOe/vUDvC29bCJx+qjZCaD5pcbJLz8D9vT7SNHz39woipKabatWuHra2FjUMhhBCihtFo5I77x7DdfR64Kmdr2SQv57tXOtG/f3+VsxNCAJw7d47V/vcw09gFgDdtEhl68j8EBgZe0XUuLI7TaDTsOZHMAX0Wx5uVo+/kpdSmET7QzNGyixWU10yd5OKaWUpoRXNlcVxo7dSJLI4T1kaaeuJvZWRkEPPQEsriapoDhiqCkkaTuHW5jDUI0YAkJSXxa9STjCMcgOed9jMj94frUphotdraw4+PJbGv4hTpzkVUhHjUNvs8nS27WEklJCt3Th3TCgkucyPOKZDu7WsPP/b29r7mnIUQQjRez057mQVp94G30iwg63sWDTjKU5MnqpqXEOJSk4YMZ8F/HXHEjvNUsGiqH68teOOar3vJ4jiNht15qRw25XDO24gp0kepTUNbWL447kSh+bw+73MGOhu86SWL44SVkKaeuKzi4mJiBkzgxCVjDVNI/HTSZcf6hBDqGdPrTtbsVu5+plPE1wt7MeXpp+rka5lMJk6fPo1Go+Gw5jC7zxzlkOEspz0rMXb2Vpp94T7gaOHTvGdLzCO8zU9VEl7tRQ+3YLqGK8VU586dcXFxqZPPIoQQwnps+Ggjw9Y5QPAQJVB0jMfcl/HBqsUySidEA7N//36S455lOMqZ7E+77mNO3k+4ulq4CfcK6XQ6jhw5gkaj4UCKhj0lmZcujov0BX8Lb3hXGeBoPmhylMVxhbI4TjRM0tQTf8lgMHDHA2P5ofl8cPEFwCZ5Gdtmd6Zfv34qZyeE+CtfffUVLvesoD8BAIz1O8SKrF/rdUxer9eTmppKUlISh5I17D6fTpJtPvl+NkohFdUKgi1cpmEwwrHzyghvUi5++bZE4UtPnzBiIpVmX4cOHeQYACGEaCL27t1L74nfUh07UwlUFdP19AR++zoBR0cLx++EEPVqdGx/EhI7AJDEeX5d0Z9xjz9erznk5+ebp072Ziazv/IUx1xKqeroodSmkb7Q/CoXx1XULI7rEElkpDLGK4vjRH2Spp74S8+8+DIL0weDd6wSyNrG4oFpTJk0QdW8hBCXZzQaecK/N6vOxQCwjSwqNj/B3XffrXJmypO/Fw4/3p+WxN7yE6Q6FlIe7FY7wutt4V3bcj0kK+eh2KdqaV/qQhf7AHoEhZvvnLZq1UrunAohRCOSnZ1NxN2zKIxbowRMRnwPjCLpm7fw8fFRNzkhxGX95z//ofVDG+iDHwBjgpJYffxn1es0o9HIyZMna6dOzqWSaDx70eK4VhDWEhwsvHmcVWwe4fU6U0V4dUt6NpfFcaLuSVNP/MmHGz5i+AfO0P4BJVCUzrDm77B+5SLVf/MVQvy9JYsWM2jq74SgnHk5uucpEn7/RuWs/prJZOLs2bPmYmrPqRQOVp/hhLsOQ3hLpdnX2QdcLDzDJK/MPMLrdqKcjpWe9GjWjm5hSjEVERGBm5uFW9OEEEI0GDqdju4Dx5DcYRU4NAPA4cB09iU8THR0tMrZCSH+TnV1NZP8evNegXIG5lecxGXbsw12qc3Fi+MOHdHwe+ExUuwKrn5xXFoBaHIuXRzXShbHietHmnriEnv27KH3pG0YYqcrgaoi4rIm8ssWGWsQwhoUFxczx/c23qjsBsBKUrhR8y6RkZEqZ2a56upqjh07phx+nKTh9/w0km3zOOdjqhnh9YUOLcDWwpsMGefNzT7fXIg0+dCrZUdiag4/Dg0Nxd7evm4/lBBCiKtiMpl4cNgEPje9CG5tlWDaB3w2yZ377x+sbnJCCIu8OXc+/zddQ1vcMGLiiVtzWfXDJrXTuiJ/vTiumIqQ5rX1qZeF5z/L4jhxHUlTT5idOXOGyHtmUxi3SgmYjPgeHEXS1zLWIIQ1ef6JycxYWUJzHCmnmpeG2bH4g1Vqp3XNysrKag8/TtWwp/Q4Rx20lLR1qb1z6mfhk3gV1ZCSB5pc7FIKCCp2JtauNT0Cakd4/f395elkIYRQ2Zz5bzPjt17g10cJ5PzOrG47mD1zmrqJCSEsdv78eRa2GsDr1V0BWEoSd6avt/rliyaTiaysrNqpkzNHOVidzSmPiprFca0g3BucLLx5fMniuAo6Vbegh1t7unaqXRxXV0tGhPWSpp4AlLGGuAFjOBK6GuyV3ygcD7zE3oT/a9BjDfn5+WzZsgWtVouXlxeDBg2SuxqiyTt27Bhfh45gMsrTeTPs9/P0ua20bNlS5czqRm5uLhqNBo1Gw57jyRzQZ5HZrAx9mFftprNmFj5pfF5nPg/FNbNUOfzYJYi4UOXg48jISDw8LBy5EEIIcU02b/6KexfmQdgoJVCaxd2G1/jy4xUN+qaL1KdC/NnTIx5nzgfVuGJPMVW8/rg7b65YqnZadUKv15OWlqaM8NYsjku2ySPPz7b2RvSVLI7L0Cr1aVIufnnK4rhesjhO1JCmnsBkMnH/Y+PZxEsXjTWs5/PJHgwefJ+quV2OVqtl6tSpbNy4kaqqKnPcycmJoUOHsmjRIjw9PdVLUAiVjbvtPlbs8MUWG05RysevR/LC9KbzVIPRaCQzM1MZ4dUcZnduGodN5zjb0oDpwohEx5ZgZ+EZJicLzXdOW5410NngTS+vEGJrDj8OCwuTIwqEEOI6Sk5OpuuID6jq9oYSqNYRljaWA1tXNdgnVaQ+FeLykpOT+TlyPI8TDsALTvuZnvsDzZs3Vzmz+nPdF8cdUUZ47Y/K4rimTJp6gtfnvcXM328Ev95KIOc3Xo77kVdmvKhuYpeh1Wrp27cvGo1GCcT6KY81H8mDxBwAoqKi2LVrlxROosn6/vvv0d3+NncTBMATLQ6w7NyvODhYuHSikdLpdKSkpKDRaDiYomF3cSZHHc5TGOCoFFJRvuBvYXFZZYDUfNDkYpucR0ChE7F2fvRs3YnoqGgiIyMJCgqSYkoIIa5QQUEBkQOf4VxsAtgqT5947H0czZczCAwMVDm7vyb1qRD/bMwNd7Lmd+V7+BhFfL2wF5OffkrdpFR22cVxbuU1i+NaQYQsjhOXJ029Jk4Za8iHsHglUHqae4yvs2ljwx1riI+PZ926ddDaDT4dAjcF1f7kTyfh4f/A2VLi4+NZu3atankKoSaTycTY9n1Yc1IZwf2Zc2R/+igPPfSQypk1TAUFBebDj/dmJLG/8jTHXEqoDPWovXPa3MmyixVVQFIuaHJxSi8iROdOnFMgcR0izYcft2jRom4/kBBCWCm9Xs9Nd41md+ul4OQJgG3iPH5ZfCu9evVSN7m/IfWpEP/sf//7H053v8ftBAAwzi+R97J+kdHRv1BdXU1GRkbt4ri8VJJsci9aHNcKQq5ucZxPjolIfOnVItS8OK5jx46yOM5KSVOvCUtKSqJb/EdUdZ2nBKrLCU8by76tqxvsWEN+fj7+/v7KSMOu+EsLpgt+Ogk3v4+TkxNZWVlyholoslatXEnvJ74nEqWBNDr6GAmJ21XOynqYTCZOnjxpvnO6++xREo3nyPKswhjhozT7OnmDg4WF6JliczHlmVVFeHULejbvQJdwpZgKDw/H2dm5bj+UEEI0cGOefJaEgrHgGaYEjn/B+4+WMHLEcHUT+xtSnwphGaPRyBMBvVl1NgaA78mi/MvHueeee1TOzHpcsjju6EWL44KuYnFcZTWk5IMmB7uUAtoWKYvjesriOKsiTb0mKj8/n8h/PUvOxWMN+8aR9OUsAgICVM7u8tavX8/IkSOVkYaDT/z1m0wm6LICEnNYt24dI0aMqNcchWgoysvLme5zM4vKuwHwIemE732TuLg4lTOzblVVVRw9elQ5/PiIht+1xzhil8/5Nva1I7xBnpZdrNoI6QWgycUmOY82BXZE27Sip28YMTXFVPv27bG1tfDsPyGEsGLvvLeSiV8FQeBAJVBwmMntPmXJ23PUTewfSH0qhOWWLl7Cv57+jVCUxWOje5wiYfc3Kmdl/f5xcVyEL7hdweK4JOVGtEtGCaEVHrI4rgGT5yubIL1ez6BHppITsdTc0LNLnMe374xq0A09UM4rAZQzSi7HxgbCfSAxp/b9QjRBrq6uuD3Rj4KF52iJMw8TzNR5S4j77EO1U7Nqjo6OREdHEx0dzaMXxQsLC5UR3q817EtPYl/FSdKciqkIca8dk2jhcunF7G2V36/CfTABZ2p+fFNaCclbYMf7OK7UElzqRlfHAHq0jzAXU76+vvX3oYUQoo7t3LmTSRt0EFnT0NPl0bdyEQvfWKNuYhaQ+lQIy40cFc/rL37Im5XKTeeee8rQaDRERUWpnJl18/X1pV+/fvTr188cu2Rx3NbD7MlL47Aph2yvakyRPkpt2rGlUo9erIUL3BwENwehAw7X/Eg4mQqan+BdWRzXkEhTrwl6YvKL7PGaYT6nhOOfk/BkQIM+p+QCL6+a1d8p+Zd/k8kEKXmXvl+IJmrcUxNJWDSE500xOGKH36ZUzp49S+vWrdVOrdHx9PSkT58+9OnTxxwzmUycOXNGGeFdc5g9WSkcrM7mlEcFhnBv5c5pZx9w+sMfx26O0DMAegZQBRyt+bHxXBZo9sOGXNxP6uik96KHW3u6dqo9/LihHp8ghBCXk5mZyV3PfIYpbpkSMOppm/YMX25dZhVnbUl9KoTlmjdvjk38jRSvKKY5jgwjlGlvLmXxh6vVTq3RsbW1JSQkhJCQEAYPHmyOV1RUKIvj9mk4+KGG3UUZpNhfWBxXcyM64C8WxwV5Kj/u6kgB8BPwk94AR3+GpM+x/TSfgEJHom386NU6zDzCK4vj6paM3zYxy99dwaQtwRBwhxIoSGRK+/+w+K3X1U3MQvn5+QQEBFBZWSlnlghhofF3PcyyLc2xx5Ycyln5UntmzXlV7bSaNL1eT3p6unLnNFnD7wXpJNnkktfKpnaEt4OFyzSMptrDj5Ny8cuzIdLkSy/vjsREKs2+kJAQq/iLsRCi6SkuLiZ2wASORySAnfKEh+u+pzn0yZOEhoaqnJ1lpD4V4spkZGTwv5BhTEF5Om+m/QGmnP1Gvi9U9o+L4yJ9wcPC85+LK80jvE7pRXQoVxbHdZfFcdedNPWakB07dtBvxmFMkVOUgC6PWwqf5/sv1ljVX/b+tF2sT1tlpMFkgp9PyXYxIf7gl19+4Uyfl3mIDgBMct/P23m/4ORk4TZXUW9KSkpITk5Go9GwP1XD3vITpDoWUta+WW2zz6eZZRfT6eFIHmhysT96nnYlLnSx96dH29rDj/38/OTOqRBCNUajkTvuH8N293ng2goAm+TlfPdKJ/r3769ydldG6lMhrsy4foNZ8YMPtthwmlI2vhbBCzNeUjst8Qf/uDgusmZxnKMsjlOLNPWaiIyMDGIeWkJZ3FIlYKgiKGk0iVuXW90hl1qtlr59+6LRaJRATCvljJKUPEjMASAqKopdu3bh6empXqJCNBAmk4kx4beQkNoJgAPko3n/bkaMHKluYsIiJpOJc+fOKYcfJ2nYczKFg9VZHHcrp7pTC6WYivAFVwfLLphfDpoc0OTS7HgZHSs96dEsiG4dlbP6IiMjcXd3r9sPJYQQwLPTXmZB2n3g3UUJZH3PogFHeWryRFXzuhpSnwpxZbZv305Z/7e4B+XJ1ie8DrAs51ccHCysZ4Sq/rg4bk9hBsm2+RS0tqsd4W3nadnF/mZxXHTN1ElwcLAsjrsMaeo1AcXFxcQMmMCJS8YappD46SRCQkJUzu7qFBYWMnXqVDZu3KiMOtRwcnLikUceYeHChVIwCXGRDz/4gPARm4jDB4DRoSmsSf1RntKyYgaDgYyMDGWEN0nD7rxUNORy1ttYs5jDF0JagJ2FBVCm1tzs884xEWn0pmeLUGIjlGKqY8eOUmgLIa6bDR9tZNg6BwgeogSKjjGs+XLWr1xktX82SX0qhOVMJhNjg29izYkIAH7hHFmfPMLDDz+scmbiWhQVFZlHePenJ7FXd5I0pyJ0Hdxrm31/XBx3OaVVkKwcL+OQqiW4rBldHQLo0S7CPMIri+OkqdfoGQwG7nhgLD80nw8uyn/wNsnL2Da78yWbcaxVfn4+W7ZsQavV4uXlxaBBg+QsBiH+QmVlJc/43sjyYmXT2H/JpNWuWdx0000qZyaut/Lyco4cOYJGo+HgUQ27SzI56qCluK1z7QhvawufxKushqP5oMnF7kg+gUVOxNq1oad/J/MIb0BAgNX+BVwIoY69e/fSe+K3VMfOVAJVxXQ9PYHfvk5oFJsTpT4VwjKrV62i1+PbiEI5W21U1DHWHt6uclbiertkcZzmMovjwn3A2cI9rjml5hFe8+K4Zk13cZw09Rq5Z158mYXpg8E7VglkbWPxwDSmTJqgal5CiPr3+sxXGPN6Bn64YsDIhIFFrPjm32qnJepJXl6eMsKr0bD3eDL7q06T2ayMqo6eSrMv0lfZumsJra7m8ONcXDJKCNG5090liLgQ5fDjyMhIeRpFCPGXsrOzibh7FoVxa5SAyYjvgVEkffMWPj4+6iYnhKhX5eXlvORzM4vLlZvOH5JOpz1v0L17d5UzE/VBFsddH9LUa8Q+3PARwz9whvYPKIGidIZ7vMu6FQvlqQrRYMjd7PqTk5PDCv+7edmgnF30Fod56MQnBAX9xZY+0SQYjUaOHz+u3DlN0rA7J5XDxnOcaVGNKcJHKabCvMHewhHeU0XmEd4W2dV0NrSkh0cHunRWiqlOnTrJghYhmjCdTkf3gWNI7rAKHJSlPw4HprMv4WGio6NVzk6IWlKf1p9Zz01j8tvZeONMFQam3l/J8s8+VDstoaILi+OSkpKUxXFlJ0h11FLarlntCK/vtS+Oi6pp9rVu3dqq+yPS1Guk9uzZQ+9J2zDETlcCVUXEZU3kly2NY6xBWD+tVms+d6aqqsocd3JyYujQoSxatEie9KkDkx8eyVv/tscJO7RU8tZkb+YueVvttEQDU1FRYT78+OARDbuLMkixL0Dr71B75zTQwiVLegOkKYcf2ybn4a91INrGj55+YcTUjPAGBQXJ4cdCNHImk4kHh03gc9OL4NZWCaZ9wGeT3Ln//sHqJidEDalP619WVhYb2j7Ai6ZYAObYHmJU1iZat26tbmKiQTGZTOTk5JinTvacTOaA/kzt4rioq1wcl6Qsjgut8KCHazu6daydOrGWxXHS1GuEzpw5Q+Q9symMW6UEjAZ8D40m6WsZaxANw582xMX6Qbi3chdFNsTVqYMHD5LY9WlGEgbAVJf9vJb3I82aWXi3SzRp58+fNx9+vC8jiX0VpzjmUkJFSPPaZp+Hs2UXK6k0j/A6phXSodydOKdAugfXHn7csmXLuv1AQoh6M2f+28z4rRf49VECOb8zq9sOZs+cpm5iQtSQ+lQ9T94zlKVfuWGPLbnoWDEtiFlzX1M7LWEFrvviuONa83l93uesY3GcNPUaGZ1OR9yAMRwJXQ32yuGQjvunsXftUBlrEA1GfHw869atg9Zu8OkQuOmi8c+fTsLD/4GzpcTHx7N27VrV8mysRne9nYSDwQAcQcuP79zC+CefVDkrYa1MJhOnTp0yH368O/soiYaznPaswtj5osOPHS08wyS7xDzC63G6kvDqFvRwD6ZruFJMhYeH4+Ji4dY0IUSDsHnzV9y7MA/CRimB0izuMb7Opo3vWfXIk2hcpD5Vz2+//cbJ3jP5PzoAMMl9P2/l/oyzs4U3CoX4g6a0OE6aeo2IyWTi/sfGs4mXLhprWM/nkz0YPPg+VXMT4oL8/Hz8/f2VkYZd8ZcWTBf8dBJufh8nJyeysrLkDJPr7LPPPsPnwfXcjDLWMDpQw+oTP8v4o7iuqqqqSE1NVe6cHklitzadZNt88v1sa4up9l6WXcxghPTzoMnBJimP1gV2RNu0ood3R2JqnuoLDg5ulIcfC2HtkpOT6TriA6q6vaEEqnWEpY3lwNZVTWo7oWjYpD5Vl8lkYkzErSSkKJMkB8knce1djIyPVzkz0djk5eWZp072Hk9mf+VpMlxLqOropdSmkb7gbuH5z4UV5hvRzseKCa1oTpxzW/PiuKioqHp5qleaeo3I6/PeYubvN4JfbyWQ8xsvx/3IKzNeVDcxIS6yfv16Ro4cqYw0HHzir99kMkGXFZCYw7p16xgxYkS95tjYVVdXM7F1b1bkKwsztnAK+2+fYsCAASpnJpqC4uJiczG1Pz2JveUnSHMqojzYrbbZ19LCv+iXVZkPP3Y4ep72Zc3o6uBPj6DaEd5WrVrV7QcSQlxWQUEBkQOf4VxsAtgqTXePvY+j+XIGgYGBKmcnRC2pT9X30YYNhA77jB74AjA6JIU1aT/K07yizhmNRk6cOKHciNYcZve5VA6brmFx3Oki8wiv1xllcVzPOlwcZ3/driRUtXnzV8zc6g1hNQ290tPc47KOl6evUDcxIf5Aq9Uq/xD+N3c3bWyUcb3EnNr3i+vG3t6ekGce5OS0QwThziDaMnbuO9LUE/WiefPm9O7dm969e5tjJpOJ7OxsZYR37WH2nE7hYHU2J5vrMIS3VJp9nX3A+Q9lSzNH6O4P3f3RA2k1Pz7JPQuaQ/BxLm4nyulU5UUPt3Z0DVOKqYiICDlHUog6ptfruXPo05yLWGpu6NkmzuPbd+OloScaHKlP1TfkoYd4etISehQqTb07jznz008/cfPNN6ucmWjsbG1tCQ4OJjg4mHvvvdccNy+OO6Dh4IYrWBwX6KH8uDMULfAL8IveAGm/geZLbP97fRfHSVOvEUhKSmLIa79C13lKoLqc8FMv8vHW1XJnQzQ4Xl4143Yp+Zd/k8kEKXmXvl9cV6MfH8vbs+5gjr4rANG7CkhNTSUsLEzlzERTZGNjg7+/P/7+/gwcONAcr66uJj09Xblz+qWG3/OPkGSTR64vtSMSHVqA7R/+rPNtBv2CoV8wpcA+YJ/RBJmHQbMNtubSKhciTb708u5ITEQUQ4YMqc+PLESjN37KNPZ4TQcnTyVw/AsSxvvTq1cvVfMS4q9Ifao+R0dH2ky+m+xX02hDM+4jiAlzl0lTT6jG2dmZ2NhYYmNjGXZR3Lw4bvMfFsd1aK7Up1GtwPMP50E62CnbeSN8MQKna35sKSmHpM2wbc1fLo675ZZb/jFPGb+1cvn5+UT+6zlyYtfUjjXsG0fSl7MICAhQOTvxV/Lz89myZQtarRYvLy8GDRrUpM7kyM/PJyAggMrKSjmzRGXPjHqCV9+vohkOlFDF7DGuvL36HbXTEuIflZaWmg8/PpCqYU/pcY46FFLazqX2zmkrN8suVlENR/IwdZUn24W4Xt55byUTvwqCwJomfcFhJrf7lCVvz1E3MXFZUp9KfdoQ5Obm8m6bQbxiUG46v81hHjz+Me3atVM3MSH+wYXFcUlJScriuDNHOWQ4y2nPymtaHGca8OE/vlWaelZMr9dz46DR7PVfBo7KY592iXP5efFtche0AdJqtUydOpWNGzcqh/DWcHJyYujQoSxatKheDtJsCP60XaxPW2WkwWSCn0/JdrF6kpKSws7O4xhPZwBecNzPtJzvm8x/h6LxycnJQaPRoNFo2HMimQP6LI43K0ffyUtp9kX4KCO7f8HEy/WcrRCN086dO7lt+iFMkU8pAV0efbXPs33TGllm0wBJfVpL6tOGYfL/xfPWp3Y4YYeWSt6a7M3cJW+rnZYQV6Wqqoq0tDQ0Gg2HkjVXvDjOkvpUmnpWbNQTz/C+9nHw7KgEjn/OusfKGDF82N//QlHvtFotffv2RaPRKIFYP+XMjiN5kJgDQFRUFLt27WoShdOf/n3EtFLuXKQ0zX8fahpz412s+dUfgEyK+fKtOJ5+9hmVsxLi+jEYDGRmZtYcfqxhd14qh005nPM2Yor0UQqq0BaY7GarnaoQVi8zM5PoIYsoi1umBIx62mpGc3jrMjw8/uLcIaEqqU8vJfVpw3Do0CEOdnmKeJQjYZ5x2c+reT/KWbiiUbF0cZw09Rqx5e+uYNKWYAi4QwkUJDKl/X9Y/Nbr6iYm/tKf7vxd/Ej/Tyeb5J2/wsJC853hyspKc9zJyYlHHnmEhQsXSsFUD77++mvsBi1nAMqh5eN8D/Je9m/yNIVo9HQ6Xe0Ib4qGpW8sUDslIaxacXExsQMmcDwiAeyUJ2Jd9z3NoU+eJDQ0VOXsxF+R+vTPpD5tGEZ3u4OEA+0BSEHLzuW3MH7CkypnJUTdumRxnEZZHPffpe//46+Tpp4V2rFjB/1mHMYUOUUJ6PK4pfB5vv9Cxhoaovz8fPz9/ZWRBjmj40+a+hkuajMajTweeCOrs6MB+IEzFH8xhvvuu0/dxIQQQlgNg8HAgAfGst19Hri2AsAmeTnfvdKJ/v37q5yd+CtSn/49qU/V9fnnn9PygffpSxsAxgRoWHXy56vaDCpEYyffFVYmIyODu5/9orahZ6giKG0qmz5cLA29BmrLli1KwRTr99cFEyhndsS0orKyki1bttRvgirz9vZmxIgRPPXUU4wYMUIKpnpma2tLzAuPkEohALfhz1dz3lM3KSGEEFblhRmvst1ukrmhR9b3LHwIaeg1YFKf/j2pT9V17733stEnx/z6/iwPtm3bpmJGQjRc0tSzIsXFxfR/7BXKutQeFOp68Dm+3/CynFPSgGm1WuUfwv+mGLCxUc7suPj9QtSTEfEjWe2cYX59w74KDh8+rGJGQgghrMWGjzayYF8keHdRAkXHGOb/P6ZMmqBuYuJvSX0qGjI7Ozs6PjuEE5QAcCdt+e+cd1TOSoiGSZp6VsJgMDB4+FOcCF1gPqfEJnkpm9+8h5CQEJWzE3/Hy6tmm01K/uXfZDIph/Be/H4h6om7uzsOo2+iCGXr3aOEkPDGEpWzEkII0dDt3buX+KUZEDxECVQV0zV/NmuWv4mNjY26yYm/JfWpaOhGjR3DKoc08+uYn86TmpqqYkZCNEzS1LMSz700mx/sJoOLrxLI2saih+3o16+fuomJfzRo0CCcnJzg0DnlbJK/8vMpSMzBycmJQYMG1W+CQgBjp05iLUqh5II9Hp8eJi8vT+WshBBCNFTZ2dnc8cRKqmNnKgGTEV/NZL79eCGOjo7qJif+kdSnoqHz8vKiclh3ytADMJKOrHl7qcpZCdHwSFPPCny44SMWHYwB71glUJTO8ICvmTxRNgBZA29vb4YOHaq8ePg/SuF0YT+NyVS7XQx45JFH5MwOoYrg4GCO9m+NEeW/zXGGjqx5b6XKWQkhhGiIdDoddwx9jsKY2qe6HQ7OZNvaqfj4+KiYmbCU1KfCGox9bgrrUZ7Wc8MBuw92U1hYqG5SQjQwsv22gduzZw+9J23DEDtdCVQVEZc1kV+2JMhdUCui1Wrp27cvGo1GCcS0Us4oScmDROUQ2KioKHbt2oWnp6d6iYombceOHRTdNp/7aAfAeK8DLM35FQcHB3UTE0II0WCYTCYeGPYkX5imgVtbJZj2AZ9Ncuf++werm5y4IlKfCmswps9drPnFH4DjFLPprTiefvYZlbMSouGQJ/UasDNnzjBg/Jrahp7RgG/SFL7eKGMN1sbLy4tdu3YRHx+vjDok5sAnSeaRhvj4eCmYhOpuueUW/hdcbn49XOvPf//7XxUzEkII0dDMfWMBX5Q8VtvQy/mNWbedkYaeFZL6VFiDB6ZP4FtOA9Ce5qS8+SkGg0HlrIRoOORJvQZKp9PRbcBYUkJXgb0rAI77p7F37VCio6NVzk5ci/z8fLZs2YJWq8XLy4tBgwbJSINoMBLWrCFu7LfE0BKAURFprE3aoXJWQgghGoLNm7/i3oV5EDZKCZRmcY/xdTZtfE8WY1g5qU9FQ2U0Gnm87Y2sPqP8HXgH2RR9MZr77rtP3cSEaCCkqdcAmUwm7n9sPJuYDm6BSjB1HZ9P8WTw4PtUzU0I0bjpdDpe9LmJJWXdAPiIdEJ+n0fPnj1VzkwIIYSakpOT6TriA6q6vaEEqnWEpY3lwNZVuLq6qpucEKJRe2fZcvpP/okwPAEYHXeChL1b1U1KiAZCxm8boDnz32ZT6fDahl7Ob7zc/5w09IQQdc7FxQXPJ+8gnwoAHqID6+fJpjEhhGjKCgoK6D/yLaq6zDXHPA4+xbaN86ShJ4SocyPiR7LaOcP8uve+Cg4fPqxiRkI0HNLUa2A2b/6KmVu9wa+3Eig9zT0u63h5+gvqJiaEaDLGTZnAaptUABywxX/zMc6cOaNyVkIIIdSg1+u5c+jTnItYDLZ2ANgmzuPbd+MJDAxUNzkhRJPg5uaGw5ibKaQSgEcJIWH+kn/4VUI0DdLUa0CSkpIY8tqvEBavBKrLCT/1Ih8nLJJzSoQQ9cbf35/TdwejxwjAOFMYq5e9q3JWQggh1PDElGns8ZoOTp5K4PgXJIz3p1evXqrmJYRoWsZNncRa0gBwxh7Pfx8mLy9P5ayEUJ809RqI/Px8+scvoCr2dXPM49BTfPfxGzLWIISod8OnTea/ZALggwvad7ZSUVGhclZCCCHq0zvvrWTtif7gGaYECg4zOXofI0cMVzcxIUST0759e1Jvb43hwk1nQxir312hclZCqE+aeg2AXq/nzkemkhO52DzWYJc4l2/fGUVAQIC6yQkhmqRevXrxfWej+fWo0nZs/OgjFTMSQghRn3bu3MmkDToIHKgEdHn0rVzIwjdeVTcxIUSTNfSlSWzmJAD+NCNr8ZdUVVWpnJUQ6pKmXgPw+KQX2es1Axw9lMDxz0l4MlDGGoQQquo3fSy7yQUghpb8MncdsjBdCCEav8zMTO565jNMkU8pAaOetmnP8OWGJdjZ2amamxCi6erbty//C9aZXw8vDOC///2vihkJoT5p6qls+bsreP/0APDsqAQKEpkSc4ARw4epm5gQosl78MEH+cAzy/z6rkwXfvzxRxUzEkIIUdeKi4vp/+jLlHVZYI65Hnie7z+ciYeHh4qZCSGaOhsbG258aSSJFADQi1Z8P2e1ylkJoS4bkzx2oZodO3bQb8ZhTJFTlIAuj1sKn+f7L9bIXVAhGrn8/Hy2bNmCVqvFy8uLQYMG4e3trXZafzL3ldcYOTuVNjTDiInxtxew8rvP1E5LCCFEHTAYDAx4YCzb3eeBaysAbJKX890rnejfv7/K2Qkh6po11KcVFRW84NOHJaXdANjIMYJ/myNTbqLJslc7gaYqIyODu5/9AlPcUiVgqCIobSqbti6Xhp4QjZhWq2Xq1Kls3LjxkjNAnJycGDp0KIsWLcLT01O9BP9g7IQneOf1Qbxi6IItNoRty+b48eO0b99e7dSEEEJcZy/MeJXtdpPMDT2yvmfhQ0hDT4hGzprqU2dnZ7wmDCDvjdP44MIQgpkybym9vpSmnmia5Ek9FRQXFxMzYAInIhLAzhEA131TSPx0EiEhISpnJ4SoK1qtlr59+6LRaJRArB+Ee8ORPEjMASAqKopdu3Y1mMIJYMojo3jjYxucsaeQSt6Y2IJ5yxaqnZYQQojraMNHGxm2zgGChyiBonSGNX+H9SsXYWNjo25yQog6Y431aXZ2NusCBvOSKRaAuTaHGHH6c/z9/dVNTAgVyJl69cxgMDB4+FOcCF1gbujZJC9l85v3SENPiEZu6tSpSsHU2g12xcPBJ2Djg3BovPK6tRsajYapU6eqneolRr0whY84BoAnTujX7KKkpETlrIQQQlwve/fuJX5pRm1Dr6qYbvmvsmb5m9LQE6KRs8b6tE2bNpy5NxQ9RgDGmsJYteQdlbMSQh3S1Ktnz700mx/sJoOLrxLI2saih+3o16+fuokJIepUfn4+G4aRAWQAAD9nSURBVDduVF58OgRuCrr0DTcFKXFg48aN5Ofn13OGlxcTE8Ovcc7m12MrOrD+/XXqJSSEEOK6yc7O5o4nVlIdO1MJmIz4aibzzccLcXR0VDc5IUSdsub6dMS0yfybDAB8cKHw3e/Q6XT/8KuEaHykqVePPtzwEYsOxoB3rBIoSmd4wNdMnvikqnkJIereli1blDNKYv3+XDBd0KctxLSisrKSLVu21G+C/+Du6ePZQTYAYXhy6I2PMBqNKmclhBDiWuh0Ou4Y+hyFMUvMMYeDM9m2dio+Pj4qZiaEqA/WXJ/26NGDHyJrX48ua8fGjz5SLyEhVCJNvXqyZ88e4pedgPYPKIGqIuIKXmX1sjdkrEGIJkCr1Sr/EP43G8RsbCDc59L3NxB33303n/jmml8/mN2Cb7/9VsWMhBBCXAuTycSjY6eSHDAPHJopwbQP+GRaHNHR0eomJ4SoF9Zen94+fRy/oZz7F01Lfp27DlkZIJoaaerVgzNnzjBg/BoMsdOVgNGAb9IUvt4oYw1CNBVeXl7KP6T8zdiCyQQpeZe+v4Gws7Oj03MPkUkxAAMJ5PO576qclRBCiKs1940FfFHyGLi1VQI5vzHrtjPcf/9gdRMTQtQba69PH3jgAT70OmN+fffxZuzcuVO9hIRQgTT16phOp+P2oS9QGLvYHHM8OINtCTLWIERTMmjQIJycnODQOfjp5F+/6edTkJiDk5MTgwYNqt8ELRA/ZjSrHNPNr7v+UkhKSoqKGQnx/+3deVyVZfrH8c8B5CipQO65lWlmblj+JrPFSsuKsjTTcEfFXShKM7U911JcsxAUN9SxyaUwy7KJrKa0DMEcNTUVTRREcUHW8/vjmY41U2YG3Gf5vv8Z7msOr76vsWmuuZ5z3Y+IXI51695l/IYroeatVuFMOp0qLOLF8WPMBhORMuXu/Wm5cuWo9+QjpHMGgE7UZ8XEOYZTiZQtDfVKkcPhoMfAJ9lZdxL4BVjFXQmsGHez1hpEvEzVqlUJCwuzDt1XWY3Tz+sBDod17r4KgB49elC16kXWIAwJCgqiqM/NnKEAgL5cR9xrM//gt0RExJXs2LGDx17eDI37W4XCXK4/+AzL46frShgRL+MJ/enAoYOJ9dsNgA82rv/oJ/bt22c4lUjZsTm0dF5qXpk4lee/ug1qtrUKGV/yQutP9RRUxEtlZ2fTrl07UlNTrULLGtYdJTuPQ4p1H0jz5s1JTk4mKCjIXNCL2LVrFxuvH8AImgIwttw3jMrY6HLrGCIi8r+ysrJodt9THA2JBx9fAAK3DCZ17Xjq1q1rOJ2ImOAJ/ekTvQYyaZmDCvhxinwmDw9i0pwY07FEyoS+qVdK1q5dx/MfVrsw0DtziE4VEnhh3DNmg4mIMcHBwSQnJxMeHm6tOqRkwIo050pDeHi4SzdMAI0bNybl9iud50EF1xH/1nyDiURE5FIUFBTwQNiTHG06wznQ80mZxIY3wjXQE/FintCfDngmimX8AEAg/hTEf8bp06cNpxIpG/qmXilIS0vjpvBl5N84ySoUnqPJ7gi2fjCfgIAAs+FExCVkZmaSlJREdnY2wcHBhIaGuuRKw2/54IMPKLpvBg9gXa4+uOo25v70BX5+foaTiYjI7xkw9CkWnBgEQY2twv7VLOx5mn59+5gNJiIuw5370wF/u4/4LfUB2M1JPpx5GyMiRxpOJVL6NNQrYZmZmTS7fxQZIXEX1hq2DiJt7fPUqVPHcDoRkb/O4XAQUe9W4tKbA/ApR8h8ux+PPvqo4WQiIvJb5rzxJiPfuxrq3mcVsrYTefVKZr4+wWguEZGSsnbtWio9Mp+7qQ1AxFUpvHXoC3x8tJwonk1/h5eggoICHugRTUazGc6Bnm/KRDbM7a+Bnoh4DJvNxk3P9mIn2QC04yqSJrxpOJWIiPyWf/7zn0QuO39hoJd7nDvzY5g+5WWzwUREStCDDz7IiurHneeuR65kw4YNBhOJlA19U68E9R/yFAuzB0PQdVZh/zsk9DpL3z69zQYrA+78VW0R+fPOnj3L89XaMS33JgAWsouQb2No1aqV4WQiIvKzffv20eKxGM62nm0ViguolzqA7R/MJjAw0Gy4MqD+VMS7zJg2nU5Pb6EBlQEY2PYwcZ+/ZziVSOnSUK+EzJ47j8j110Kde61CVgpR16xixmuvmg1WyrKzs4mOjiYxMZH8/Hxn3W63ExYWRkxMjEtfqioil29s1NOMmpVJMHbyKOLpboXMXplgOpaIiAA5OTmEdBzO/qbx4OsPQMDWJ/luxTAaNWpkOF3pUn8q4p1OnTrFpOrtmZxvPXSex/fc+X0sTZo0MZxMpPRo/bYEbNq0iajE/AsDvdzj3Jk/g2mTXzIbrJT9/PrzhIQEq2EKqQlhzaBlDfLy8khISOCOO+7g5MmTpqOKSCkYHD2SeHYBYMeXKv/YQUZGhuFUIiJSVFRElz5PsL/h686Bnm3HHNZOCfWKgZ76UxHvFBgYSFHfNpzGGub3oRFxr800nEqkdGmo9xft3buXTqPW4GgWZRWK8qm/O5o1S2bg6+trNlwpi46OJjU1FWpVhORw2DYEErvCd0Otc62KpKamEh0dbTqqiJSC+vXr88N9dSiiGIDBRdczf67u1hMRMW30uJf42DcSAmpYhfSPmN4NOnToYDZYGVB/KuLdIp6OJIHdAFxBOcov/Ybs7GzDqURKj9Zv/4KcnBxadhzOj79aa4giZeVIGjZsaDhd6crMzKR27drWE9DkcLi9/v9+6LMDcMdC7HY76enpusNExAMlJydzvN2rPMo1AAwP/IaYY1/g7+9vOJmIiHdauiyR3gn+0KCrVTi1h96V57LorRhsNpvZcKVM/amIAES0e5j5yTUBOMBpVk0K4ekxow2nEikd+qbeZSoqKqJznyf4sdG0X6w1zGLd1E4eP9ADSEpKurDS8FsNE8Bt9ZyrDklJSWUbUETKxO233876hued576n6vL3lSsNJhIR8V5btmwhfNbeCwO9/BxaZ71C3JypHj/QA/WnImJ5bNxwkjgIQH0q8cO0tyksLDScSqR0aKh3mUaNfYlNflFQobpVSN9ITHdf2rdvbzZYGXF+hbnJRZ5u2mzQpNqvPy8iHsVms3H72HC2kQnA36jOponx6EvgIiJl68iRI9w75C0KQ56zCo5iqqdGsj5xmtd8e1r9qYgA3HPPPayue8p57pFZk7Vr1xpMJFJ6NNS7DIuXLCVmW0uo0tIqnNpDnzrriRwxzGywMhQcHGz9sDPz9z/kcMDO47/+vIh4nMfDwlhQ6YDzfO+//fjyyy8NJhIR8S65ubncGzaKky0vXAhfbttzbFwQTbVq1QwmK1vqT0UErIfOrZ/tzfdYg/s7qMX6Cbr3WTyThnp/0tdff03/OQfgmketQv4pWme9zPzZU7xireFnoaGh2O12+O6odTfJb9l8EFIysNvthIaGlm1AESkz5cuXp9qI+zlGLgBduYYlk2YZTiUi4h0cDgc9I6LZUWcSlLvCKu5ezIpnW9OiRQuz4cqY+lMR+VnvPn2Iq7DPeb59WwHbtm0zmEikdGio9yccPnyYjkPjKAoZZxWKi6ieFsX6xOles9bws6pVqxIWFmYduq+yGqef1+0cDuvcfRUAPXr00CXEIh4uYuQw5vvsAsAPH+on7efQoUOGU4mIeL4Jk19n9eleULGeVcj4kufvPkyXLp3NBjNA/amI/OyKK66gwqC7yCYPgDAasnDyzD/4LRH3o7ffXqLc3Fxu6hjBzkax4BcAgP83z7JlQZjXPQX9WXZ2Nu3atSM1NdUqtKxh3VGy8zikZADQvHlzkpOTCQoKMhdU/pTMzEySkpLIzs4mODiY0NBQNb1ySUY82pvp79jxx5dMzjPzqVq88vpk07FERDzWunXv8vD0TGgcbhXOpNOp+FXWJM7zqg2SX1J/6nnUm8rlOnDgAH+/+nFGYf3/9Zd8tzHk8LvUqFHDcDKRkqOh3iVwOBx06TWMNYyFinWt4q6FvBMVTOfOjxjNZtrJkyeJjo4mMTGRvLw8Z91ut9OjRw+mT5+uhslNZGdnO/8s8/PznXW73U5YWBgxMTH6s5SL2rJlC7v+9gy9aARAVMBWJh3/jICAAMPJREQ8z44dO7ix72Lyb5piFQpzuX5PBN9siPX6f+6qP/UM6k2lJAy5vxtzNwTiiw8/cY745xoy/uUXTMcSKTEa6l2CVyZO5fmvboOaba3C0S948f+SeWH8GLPBXIieoLm3/3mqHVLTenPc93qqLX/OgBbtiU9tCEAqJ/jXW/cQMWiQ4VQiIp4lKyuLZvc9xdGQePDxBSBwy2DS1j1HnTp1DKdzHepP3Zd6Uykpn332GRl3vExXGgAwIvBbpmVstu7fFPEAGur9gbVr1/FITNYv1hoO8bBjAquXee9ag3ie8PBwEhISoFZFWPkY3F7/wr/58/0zP50hPDycBQsWGMsprm/lypXUfTyRttQEYED9NOL2b9Y/L0VESkhBQQG3hQ7g66tmgT0IAJ+USXw+4y7atGljNpxICVFvKiXF4XAwsHE74vc0AWALx/j3os707tPHcDKRkqGh3kWkpaVxU/gy8m+cZBUKz9FkdwRbP5jv9WsN4jkyMzOpXbu2tdaQHP7rpulnnx2AOxZit9tJT0/XU275XQUFBUTWaMu87BsBWMcBrvhoFO3btzecTETEMwwY+hQLTgyCoMZWYf9qFvY8Tb+++j+o4hnUm0pJW5SQQPPwd7kR6++T/o3/TfzOf+qhs3gEvf32d2RmZtIhfBr5Ia86a4HfPcGHy6dooCceJSkpyWqaQmr+dtMEcFs9aFmDvLw8kpKSyjaguJVy5cpxdXRn0jkDwIPUY+XEOYZTiYh4hjlvvMmCA/deGOhlbSeyxVYN9MSjqDeVkvZ4WBgLKx1wnjvuKscXX3xhMJFIydFQ7zcUFBTwQI9oMprNcN5T4psykQ1z++ueEvE42dnZ1g9NLvKE02az3hz3y8+L/I6BQwfzlt9uAHyw0XRTBnv37jWcSkTEvX3yySdELjsPdTtahdzj3Jkfw/QpL5sNJlLC1JtKSbPb7VQb+QAZnAPgUa5h6aRZhlOJlAwN9X7D4JFj2BI8HvwDrcL+d4gfVlf3lIhHCg4Otn7Ymfn7H3I4YOfxX39e5HdUqVKF04+HkEshAOE0JvZ1NU4iIpdr3759PPT0OziaPWEViguotzuaNUtm4OvrazSbSElTbyqlYdDIYcz32QWAHz5cvf4Ahw4dMpxK5K/TUO+/zJ47j4WHOkLQdVYhK4Wolt/St09vs8FESkloaKj19qfvjlr3k/yWzQchJQO73U5oaGjZBhS3NGB0JEvZA0Bl/HEs/JycnBzDqURE3E9OTg4der7A2VbTnLWAb0fz0ZLnCQwMNJhMpHSoN5XSULNmTY52bkw+RQAMdDQmdoauiBH3p6HeL2zatImoxHyoc69VyD3OXQUzmTb5JbPBREpR1apVCQsLsw7dV1nN08/vz3E4LrxhDOjRo4cuIpZL0rx5c7762xXOc0ReQxIWLDSYSETE/RQVFdGlzxPsb/g6+PoDYNsxh7VTQmnUqJHhdCKlQ72plJZ+Y6JYyT4AqlCe029+xLlz5wynEvlr9Pbb/9i7dy8tu83kbOv/rIgV5VM/bQDbP5xL5cqVzYYTt5OZmUlSUhLZ2dkEBwcTGhrq0g1HdnY27dq1IzU11Sq0rGHdU7LzOKRkANaQJjk5maCgIHNBxa28++67VOj0Jh2w7iKNqPkdbx3+Eh8fPU8SEbkUT415nul7ukDVEKuQ/hExHf/NE5EjjOYS9+RO/al6UyktA0I6EJ9yLQBpnOCLNzswaPBgw6lELp+GelhrDS07DufHpvHOp6ABW6NIWTmShg0bGk4n7iQ7O5vo6GgSExOtt3b9h91uJywsjJiYGJdtPE6ePOnMnpeX56zb7XZ69OjB9OnTXTa7uKbi4mKG1G5L7NGWAGwknfPrhvDQQw8ZTiYi4vqWLkukd4I/NOhqFU7toXfluSx6KwabzWY2nLgVd+1P1ZtKaVi1ahW1ui3lNmoCMLB+GvP3b9Y/V8Vtef1Qr6ioiHsfjWBT5clQoToAth2z2PhSU9q3b284nbiT/3miGFLTemvX9+71RNGdnuKK65sZM4PQ6H/REOvepwE3HyT+X+8bTiUi4tq2bNlC2xEbKAx5zirkn6J1+kg+T4rD39/fbDhxK57Qn6o3lZJUWFjIyJptmZfVCoB3OUCFjU/ToUMHw8lELo/XD/Win3memL2PQhXrmySkf8iM+/YQNXK42WDidsLDw0lISIBaFWHlY3B7/Qv/5s93f/x0hvDwcBYsWGAspzdTU1j2cnJymFD9bqbk3QTAW+zk1tQ3aNasmeFkIiKu6ciRIzR96HlOto6zCo5iqn/bn7T3X6NatWpmw4nbUX/q2tSbmjF14mQeH5dKPSpSjIMhdx0jdtMa07FELotXD/UWL1lK3yUBcE0Xq3BqD30D32Dhm9P19Vv5UzIzM6ldu7a10pAc/uuG6WefHYA7FmK320lPT9f/YJchd1078RSjh0Qy/q3TVMafcxQytrcvMxbHmo4lIuJycnNz+b/7BrLj2lgoZ71sqNy349ga350WLVoYTifuRv2p61JvataJEyeYXqMjrxbeCMAs0nhgzyJdvSVuyWtvK//666/pP+fAhYFe/ilaZ71M7OwpGujJn5aUlGT9D3JIzd9umABuqwcta5CXl0dSUlLZBvRiP6+dJCQkXPgzCmvm/LNISEjgjjvu4OTJk6ajeqxBT0eSwG4AAvCj4vJvycrKMpxKRMS1OBwOekZEs6POJOdAj92LWfFsaw305LKoP3VN6k3Nu/LKKznb40bOUQhAP64j9vVZhlOJXB6vHOodPnyYjkPjKAoZZxWKi6ieFsX6xOm6p0QuS3Z2tvVDk4s83bTZrLd2/fLzUuqio6Ote2RqVbSeUm8bAold4buh1rlWRVJTU4mOjjYd1WM1bNiQtLuqUYz1xfBBhY2Je1Pf1BMR+aUJk19n9eleULGeVcj4kufvPkyXLp3NBhO3pf7UNak3dQ0DR0eyhD0AVMYfW8IX5OTkGE4l8ud53VAvNzeXe8Ke4WTIDGfNf9t4NsZH654SuWzBwcHWDzszf/9DDgfsPP7rz0upyszMJDEx0Tr89z0yYJ1XPgZAYmIimZkX+fOTv6Tb2BEkcRCAelRk//R3KCgoMJxKRMQ1rFv3Ls99UBVq3moVzqTTqcIiXhw/xmwwcWvqT12PelPX0bRpU7a0qeg8R+Q1JCFe90qK+/GqoZ7D4aDHwGh21p0EfgFWcddCVoy7WWsN8peEhoZit9vhu6PW3SS/ZfNBSMnAbrcTGhpatgG9lNZOXEf79u1ZW/+089zrxFWsXr3aYCIREdewY8cOHnt5MzQOtwqF57j+0BiWx+uOZ/lr1J+6HvWmruWRccPYSDoADQkkbeoKioqKDKcS+XO8aqj36qTXWHOmN1SsaxWOfsGLHTLo3PkRo7nE/VWtWpWwsDDr0H2V1Tj9/A4ah+PC28WAHj166BLiMqK1E9dhs9n427N9SOMEALdRkw0T3jKcSkTErKysLDr0e438VhOdtcBtT7IxcTIBAQEGk4knUH/qetSbupYHHniAVbUu3PPc7WgV1q9fbzCRyJ/nNUO9tWvX8fyH1aBmW6tw5hAPX7GY58c9YzaYeIzp06fTvHlz+OkM3LEQWr0JYW9b/3rHQvjpDM2bN2f69Ommo3oNrZ24ll69exMfsN95vnN7MVu3bjWYSETEnIKCAh4Ie5KjTWeAjy8APimT2PBGOHXq1DEbTjyG+lPXot7Utfj4+NBsdBh7OAVAB+qwdsI8w6lE/hyvGOqlpaXR7dUvf7XW0OTgGBLjtNYgJSc4OJjk5GTCw8OtVYeUDFiR5lxpCA8PJzk5Wa+nL0NaO3EtAQEBVBzSnizOA/A415IweabhVCIiZgyJHMPXwePAHmQV9q8mfmht2rRpYzSXeBb1p65Fvanr6dc/nPn2H5znv311hrS0NIOJRP4cm8Px83ewPVNmZibN7h9FRkic8ylo4NZBpK19Xk9BpdRkZmaSlJREdnY2wcHBhIaGaqXBkPDwcBISEqw3jK18zLqnxGaznoJuPmitnfx0hvDwcBYs0OW4pe3QoUMsr/8Yox0tAXjFZxsD09dSq1Ytw8lERMrOnDfeZOR710DdjlYhazuRV69k5usTzAYTj6b+1DWoN3U9zwyNYtybOVTGn1wKGdvbl5jFsaZjiVwSjx7qFRQUcGvoALbUng3+gQD4pkxk84y79RRUxEtkZ2fTrl07UlNTrULLGtY9JTuPW0+rgebNm+spdRka+mB3ZidVxg8fMjjHW2Ov4fkJL5uOJSJSJj755BPaj0/B0ewJq5B7nDtPjuaj1XH4+voazSYipU+9qevZu3cv7zXsTRTNAXjO71ueOLqBKlWqGE4m8sc8ev128MgxbAke7xzosf8d4ofV1UBPxIto7cT19Ho2knew7tarQQDHZq8nLy/PcCoRkdK3b98+Hnr6nQsDveIC6u+OZs2SGRroiXgJ9aau59prr2XH3TUoxvq+06DC64h/U9/UE/fgsd/Umz13HpHrr4U691qFrBSirlnFjNdeNRtMRIzR2olrcDgcDGxyJ/G7rgfgG46TtrATffv1MxtMRKQU5eTkENJxOPubxoOvPwABW58gZeUIGjZsaDidiJig3tR1fPzxx5zt8BqdqA/A0Cu/ZdbRLyhXrpzhZCIX55FDvU2bNtHhuVQczaKsQu4x7jr1DBvf0VqDiIgrWLJ4MU36rqE11QDo32gn8bs+1cuLRMQjFRUV0fHRCD6uNAkCagBg2zGHD1+8ng4dOhhOJyIiDoeDiAa3E/djUwA+5yiHV/akW7duhpOJXJzHrd/u3buXTqPWXBjoFeVTf/dTrFkyUwM9EREX0a17dxIqH3Se799jZ/PmzQYTiYiUntHjXuJj30jnQI/0j5jeDQ30RERchM1m4+Zn+5DKCQBupSYfTHjLcCqRP+ZRQ72cnBw69HqRs61ed9YCto3io6UvULlyZYPJRETkl+x2OzUjH+Qo5wDozNUsmzTbcCoRkZK3ZOkypn/TAqqGWIVTe+hd+z2iRg43mktERH6tZ69exAfsd57v3O5g69atBhOJ/DGPGeoVFRXRuc8T/NhomvOeEtuOWayb2kn3lIiIuKCIEUOJ9d0FgB8+NHj/IAcOHDCcSkSk5GzZsoXw2fugQVerkH+K1lmvEDdnqq4bEBFxMQEBAVQe2oEszgPQnQYkTJppOJXIxXnMUG/U2JfY5BcFFapbhfQPienuS/v27c0GExGR31SjRg2Od2lCHkUADKQxsTFzDKcSESkZR44c4d4hb1EU8pxVcBRTPe0J1idOw9/f32w4ERH5TRFRw4mzWQ+d/fGl5ppd/PTTT4ZTifw+jxjqLV6ylJhtIVClpVU4uZu+dd4ncsQwo7lEROTiwsdEsYK9AFxJec7FbuLs2bOGU4mI/DW5ubncGzaKky0vfMPDf9t4NsY/SbVq1QwmExGRi6lbty4HQq+mkGIAIoobM3/OPMOpRH6f2w/1vvrqK/rPOQDXdLEK+adofeIVYmdP0VqDiIiLu/HGG0kO8XOeB+Y2YMnixQYTiYj8NQ6Hg54R0eyoMwnKXWEVdy9m+bP/R4sWLcyGExGRP9Tr2Uj+gXW3Xg0COD57PXl5eYZTifw2tx7qHT58mPuGxVMUMs4qFBdRPS2K9YnTtdYgIuIm7h83mM+w1hqaciVbJi3B4XAYTiUicnkmTH6d1ad7QcV6ViHjS56/+zBdunQ2G0xERC7JLbfcwofXFzrP4afrs2L5coOJRH6f2w71cnNzuSfsGU6GzHDWrLWGaK01iIi4kUceeYTEqked586HKrNx40aDiURELs+6de/y3AdVoeatVuFMOp0qLOLF8WPMBhMRkUtms9m4a+wAtnAMgBupSvLEBXroLC7JLYd6DoeDHgOj2Vl3EvgFWMVdC1kx7matNYiIuBk/Pz8aRD/KAU4D8CD1WTVxruFUIiJ/zo4dO3js5c3QONwqFJ7j+kNjWB4/XVfCiIi4mW7du7MoMN15vn+Pnc2bNxtMJPLb3HKo9+qk11hzpjdUrGsVjn7Bix0y6Nz5EaO5RETk8gwYHEGs327nufmnmezevfsivyEi4jqysrLo0O818ltNdNYCv3uSjYmTCQgIMJhMREQuh7+/PzUjH+QnzgHQmatZNnG24VQi/8vthnpr167j+Q+rQc22VuHMIR6+YjHPj3vGbDAREblsV155Jbk9b+Ic1v0l4VzH/NdnGU4lIvLHCgoKeCDsSY42nQE+vgD4pExiw9xw6tSpYzaciIhctojhQ4j13QWALz5cu+EQP/74o9lQIv/FrYZ6aWlpdHv1y1+tNTQ5OIbEOK01iIi4u4Gjo1iM9e28Svjju+hfnDp1ynAqEZGLGxI5hq+Dx4E9yCrsX0380Nq0adPGaC4REflratSoQdajN5BHEQADaUxszBzDqUR+zW2GepmZmXQIn0Z+yKvOWuB3T/Dh8ilaaxAR8QA33HADW2+p7DwPym/Ewrh4g4lERC5uzhtvsuDAvRDU2CpkbSeyxVb69e1jNpiIiJSI8DFRLOcHAIKxc37+Pzl79qzhVCIXuMVQr6CggAd6RJPRbIZzrcE3ZSIb5vbXWoOIiAfpPG4YH2JdStyAynw/dSVFRUWGU4mI/K9PPvmEyGV5ULejVcg9zp35MUyf8rLZYCIiUmJatWrFZ63KOc8DcxuweNEig4lEfs0thnqDR45hS/B48A+0CvvfIX5YXa01iIh4mPvvv59VV2U5z48fq8Z7771nMJGIyP/at28fDz39Do5mUVahuID6u6NZs2QGvr6+ZsOJiEiJCh0/lE85AsANBLN18lKKi4sNpxKxuPxQb/bceSw8dB8EXWcVslKIavktffv0NhtMRERKnI+PDy2f6ckuTgJwN7VZ9+obZkOJiPxCTk4OHXq+wNlW05y1gG9H8dHSFwgMDDSYTERESsPDDz9MYrUM5/nRQ4Fs3LjRYCKRC1x6qLdp0yaiEvOhzj1WIfcYdxXMYNrkl8wGExGRUtM3vB/zy+91nm/Zep7t27cbTCQiYikqKqJLnyfY3/B18PUHwLZjDuumPkTDhg0NpxMRkdLg6+vLdU8/xo+cBuAB6vH2hLmGU4lYXHaot3fvXjqNWnNhraEon/q7n2LNkplaaxAR8WCVKlWi3IDbOUU+AD1pSPyUmYZTiYjA6HEv8bFvJATUsArpHzG9G7Rv395sMBERKVX9IwYSW26389zysxPs2rXLYCIRi0sO9XJycujQ60XOtnrdWQvYZq01VK5c+SK/KSIiniAieiQLsBqlCvgRuHI7x48fN5xKRLzZkqXLmP5NC6gaYhVO7aF37feIGjncaC4RESl9wcHB5PX+P85SAEA/riPu9VmGU4m44FCvqKiIzn2e4MdG036x1jCLdVM7aa1BRMRLNGjQgH93qEUxDgAGFV1H3Ly3DKcSEW+1ZcsWwmfvhwZdrUL+KVpnvULcnKnYbDaz4UREpExEjIpiEda39SpSDt/FX3Hy5EmzocTrudxQb9TYl9jkFwUVqluF9A+J6e6rtQYRES/z+NgRrOMAAHWoyMEZaykoKDCcSkS8zZEjR7h3SCxFIeOtgqOY6mlPsD5xGv7+/mbDiYhImbn++uv59tYg53lwfiMWxsWbCySCiw31Fi9ZSsy2EKjS0iqc3E3fOu8TOWKY0VwiIlL27rzzTt5rcM557pNdm7fffttgIhHxNrm5udwbNoqTLWc4a/7bxrMx/kmqVatmLpiIiBjx6LjhbOAQANdQmZ1TV1JUVGQ4lXgzlxnqffXVV/SfcwCu6WIV8k/R+sQrxM6eorUGEREvZLPZuOXZvqSQBcAt1GDjhFjDqUTEWzgcDnpGRLOjziQod4VV3L2YFWP/RosWLcyGExERIzp27Mg/amc7z2HHa/Duu+8aTCTeziWGeocPH+a+YfEUhYyzCsVFVE+L4v3lMVprEBHxYj169mTBFT86z+132Pjqq6/MBRIRrzFh8uusPt0LKtazChlf8vzdh+nc+RGjuURExBwfHx9CnunJLk4CcBdX8e6EeWZDiVczPtTLzc3lnrBnOBkyw1nz3zaejxY8RdWqVc0FExER4ypUqEDQsHvJ5DwA3biWRZP0pjERKV3r1r3Lcx9UhZq3WoUz6XSqsIgXx48xG0xERIzrG96P+eX3Os9tt55n+/btBhOJNzM61HM4HPQYGM3OupPAL8Aq7lrIinE307x5c5PRRETERQyKGs582y4AyuFD7XU/cPjwYcOpRMRT7dixg8de/hwah1uFwnNcf2gMy+On60oYERGhYsWKlBt4ByfJA6AnDYmfPNNwKvFWRod6r056jTVnekPFulbh6Be82CFDaw0iIuJUu3ZtDj3UgAKKAYhwNGb+7DcMpxIRT5SVlUWHfq+R32qCsxb43ZNsTJxMQECAwWQiIuJKBkWPZAG7ASiPH0F/387x48cNpxJvZGyot3btOp7fWB1qtrUKZw7x8BWLeX7cM6YiiYiIi+rzbCRvsw+A6lTgxNwPOH/+vOFUIuJJCgoKeCDsSY42nQE+vgD4pExkw9xw6tSpYzaciIi4lGuuuYZd99Si6D8PnQcVNSZu3luGU4k3MjLUS01NpdurX8J1/axC4TmaHBxDYpzWGkRE5H+1adOGj24odp77n6lP4rJlBhOJiKcZEjmGr4PHgT3IKuxfTfzQOrRp08ZoLhERcU1hY0eyjgMA1OYKDsWspaCgwHAq8TZlPtTLzMzknv7TyQ951VkL/O4JPlw+RWsNIiLyu9qPi+ArjgEQQlU2T1yIw+EwnEpEPMGcN95kwYF7IaixVcjaTmSLrfTr28dsMBERcVnt2rXjvQa5znOfk7V5++23DSYSb1SmQ72CggIe6BFNRrMZzrUG35SJbJjbX2sNIiJyUV27dmVxULrz/OC+AD799FODiUTEE3zyySdELsuDuh2tQu5x7syPYfqUl80GExERl2az2bh1bD9SyAKgDTX4aMJ8w6nE25TpUG/wyDFsCR4P/oFWYf87xA+rq7UGERH5Q/7+/tSO6sQRzgLwMPVJnDjbcCoRcWf79u3joaffwdEsyioUF1B/dzRrlszA19fXbDgREXF5PXr2ZEHFH53n9jtsfPXVV+YCidcps6He7LnzWHjoPgi6zipkpRDV8lv69uldVhFERMTNRQwfQqyv9aYxX3xovPEI+/fvN5xKRNxRTk4OHXq+wNlW05y1gG9H8dHSFwgMDDSYTERE3EX58uUJHt6R41hruI/RgMWTZhlOJd6kTIZ6mzZtImp5AdS5xyrkHuOughlMm/xSWfzlRUTEQ1SrVo3sbs04TyEAA2hM7HR9W09E/pyioiK69HmC/Q1fB19/AGw7ZrNu6kM0bNjQcDoREXEngyKHM9+2C4By+FB73Q8cPnzYcCrxFqU+1Nu7dy8PjVqLo2mkVSjK/89aw0ytNYiIyJ/W/5koEtkLQBB28uOSOXPmjOFUIuJORo97iY99IyGghlVI/4jp3Wy0b9/ebDAREXE7V111FemdGlJAMQARjsbMn/2G4VTiLUp1qJeTk0OHXi9yrtVrzlrAtlF8tPRFKleuXJp/aRER8VAtW7bk85vsznPE+WtZtDDBXCARcStLli5j+jctoGqIVTi1h9613yNq5HCjuURExH31fTaSVewDoBoVyJ77AefPnzecSrxBqQ31ioqK6NznCX5sNO0Xaw2zWDe1k9YaRETkL3lw3BD+yREArieIbVOWUVxcbDiViLi6r7/+mvDZ+6FBV6uQf4rWWa8QN2cqNpvNbDgREXFbN998Mx83dTjP/c9cTeKyZQYTibcotaHeqLEvsckvCipUtwrpHxLT3VdrDSIi8pd16tSJ5dWOOc+PHg7igw8+MJhIRFzdkSNH6Dh0PkUh462Co5jqaU+wPnEa/v7+ZsOJiIjb6zAugn+RAUBLqvD5xAQcDscf/JbIX1MqQ73FS5YSsy0EqrS0Cid307fO+0SOGFYafzkREfEyvr6+NB71GPvJAeB+6vGPCXMNpxIRV5Wbm8u9YaM42XKGs+a/bTwb45+kWrVq5oKJiIjH6Nq1K4uDLrwg48F9Ffj0008NJhJvUOJDva+++or+cw/CNV2sQt5JWp94hdjZU7TWICIiJaZ/xEBi/fc4z60+P8m///1vg4lExBU5HA56RkSzo84kKHeFVdy9iBVj/0aLFi3MhhMREY9Rrlw56j75MIc5C8DDXM3yibMNpxJPV6JDvcOHD3PfsAUUtRxrFYqLqL7jCd5fHqO1BhHxOpmZmSxatIgZM2awaNEiMjMzTUfyKEFBQRT0/htnKACgL9cx/7WZhlOJiKuZMPl1Vp/uBRXrWYWML3n+7iN07vyI0VwiIiaoPy1dA4cOJtZ3FwA+2Gi88Qj79+83nEo8mc1RQkveubm53NQxgp2NYsEvAAD/b55l68IeNG/evCT+EiIibiE7O5vo6GgSExPJz8931u12O2FhYcTExBAUFGQuoAfZtWsXH10/gOE0BeDZct8wOmMjwcHBhpOJiCtYt+5dHp6eCY3DrcKZdDoVv8qaxHnaIBERr6L+tOxE9RjAlOVQHj9OkseUEVcyafZ007HEQ5XIUM/hcNCl1zDWMBYq1rWKuxbyTlSwnoKKiFfJzs6mXbt2pKamWoWQmtCkKnx/HFKsi3ObN29OcnKyGqcSMvD2h4jbfBUAP3Kaf0xuxVPPjDKcSkRMS0tL46Z+S8m/abJVKDzH9XsG8c2GWAICAsyGExEpQ+pPy9b27dvZ0nIkA7gegKfLf8MLxz6hUqVKhpOJJyqR9dtXJ73GmjO9Lwz0jn7Bix0yNNATEa8THR1tNUy1KkJyOGwbAold4buh1rlWRVJTU4mOjjYd1WN0HTec9zkIwNVUYve0VRQWFhpOJSImZWVl0SH8NfJbTXDWAr97ko2JkzXQExGvo/60bLVo0YIvWpd3niPOX8uihQnmAolH+8vf1Fu7dh2PzDgB1/WzCmcO8bBjAquXaa1BRLxLZmYmtWvXtlYaksPh9vr/+6HPDsAdC7Hb7aSnp1O1atWyD+phiouLGVT/VuLSrQvvP+UIWf8Ip0uXLoaTiYgJBQUF3BY6gK+vmgX2IAB8UyaxecZdtGnTxmw4EZEypv7UjDVr1hDYOZ67sLZJBl6VQuyhL/DxKfF3lYqX+0t/R6WmptLt1X9dGOgVnqPJwTEkxk3XQE9EvE5SUpLVMIXU/O2GCeC2etCyBnl5eSQlJZVtQA/l4+PDjc/04t+cBKAdV5E04U2zoUTEmCGRY/g6eJxzoMf+1cQNra2Bnoh4JfWnZjz00EOsqH7Mee565Eo2bNhgMJF4qsse6mVmZnJP/+nkh7zirAVti2LjiqlaaxARr5SdnW390OQiTzdtNmhS7defl7+sT7++zK+w13m+7dt8tm3bZjCRiJgw5403WXDgXghqbBWythPZYiv9+vYxG0xExBD1p2b4+vrSZHR39pEDwH3U5Z0JbxhOJZ7osoZ6BQUFPNAjmoxmM8DHFwDflIlsmDeQ2rVrl2Q+ERG34Xzj6s7M3/+QwwE7j//68/KXVaxYEXvEnWSTB0APGrJg8kzDqUSkLH3yySdELsuDuh2tQu5x7syPYfqUl80GExExSP2pOeEDBxDrv8d5vumLU+zcudNgIvFElzXUGzxyDFuCx4N/oFXY/w7xw+py8803l2Q2ERG3Ehoait1uh++OWneT/JbNByElA7vdTmhoaNkG9HCDo0cSzy4A7PhS5R87yMjIMJxKRMrC3r17eejpd3A0i7IKxQXU3x3NmiUz8PX1NRtORMQg9afmBAYGUtS3DafJB6APjYh7TQ+dpWT96aHe7LnzWHjoPgi6zipkpRDV8lv69uld0tlERNxK1apVCQsLsw7dV1mN08/vInI4rHP3VQD06NFDlxCXsPr16/PDfXUoohiAwUXXM3+u7tYT8XQ5OTl06PkCZ1tNc9YCvh3FR0tfIDAw0GAyERHz1J+aFfF0JAnsBuAKylF+6TdacZYS9afefrtp0yY6PJ+Go2mkVcg9xl2nnmHjO3F6CioignUPSbt27UhNTbUKLWtYd5TsPA4p1rfGmjdvTnJyMkFBQeaCeqjk5GSOt3uVR7kGgOGB3xBz7Av8/f0NJxOR0lBUVETHRyP4uNIkCKgBgG3HbDa+dAPt27c3nE5ExDWoPzUrot3DzE+uCcABTrNqUghPjxltOJV4ikv+pt7evXt5aNTaCwO9ovz/rDXM1EBPROQ/goODSU5OJjw83Fp1SMmAFWnOlYbw8HA1TKXo9ttvZ33D885z31N1+fvKlQYTiUhpGj3uJT72jXQO9EjfSEx3Hw30RER+Qf2pWY+NG04SBwGoTyV+mPY2hYWFhlOJp7jkb+pdc0tvfmwaD77Wtx0CtkSS8vdIGjZsWKoBRUTcVWZmJklJSWRnZxMcHExoaKhWGspAwsKFtOz/Hq2w/rPuf/0u4r//BJvNZjiZiJQ02z1vQ4Ou1uHUHnpXnsuit2L033cRkd+h/rTsORwOIurfStyh5gAk8xPH3+7Lo48+ajiZeIJLHurZ+hyDCtWtn3fMYuNLTfUUVEREXM758+cZVf02Zp++CYAV7KXe5y/Ttm1bw8lEpKTZBv/nh/xTtE4fyedJcVq3FxERl/PmvHncMewTbsB6u/CAVvuI/3aj4VTiCS79RRn/GeiR/iEx3X010BMREZdUvnx5qo24n2PkAtCVa1gyaZbhVCJSahzFVE97gvWJ0zTQExERl9S7Tx/iKuxznm/fVsC2bdsMJhJP8efefntyN33rvE/kiGGlFEdEROSvixg5jPk+uwDww4f6Sfs5dOiQ4VQiUhr8t41nY/yTVKtWzXQUERGR33TFFVdQYdBdZJMHQBgNWTh5puFU4gkufaiXd5LWJ14hdvYU3VMiIiIurVatWvz0yHXkUwTAQMf1xM6caziViJS43YtYMfZvtGjRwnQSERGRixr05AjisB462/Glyj++JyMjw3AqcXeXPNSrsX0I7y+P0VqDiAfLzMxk0aJFzJgxg0WLFpGZmWk6kshl6zsmkr9jrTlUpTw58zZy7tw5w6lEpCS90P4nOnd+xHQMESkl6k3Fk9SvX5+999WliGIABhU1Zv7cNw2nEnd3yS/KSE9Pp06dOqWdR0QMyM7OJjo6msTERPLz8511u91OWFgYMTExesW9uKUBLdoTn2q9pT2VE/zrrXuIGDTIcCoRKSkOh0MbJCIeSL2peKrPPvuMjDtepisNABgR+C3Tj32uL0/JZbvkoZ6IeKbs7GzatWtHamqqVQipCU2qwvfHIcX6Onjz5s1JTk5W8yRuZ+XKldR9PJG21ASgf/004vdv1hBARETERak3FU/mcDgY2Lgd8XuaALCFY+xa3IVevXsbTibu6s+9KENEPE50dLTVNNWqCMnhsG0IJHaF74Za51oVSU1NJTo62nRUkT+tS5cuLAk+4jw/fKAimzZtMphIRERELka9qXgym83GHWP78y3WKvn/UZ1PJsaj71rJ5dI39US8WGZmJrVr17bWGpLD4fb6//uhzw7AHQux2+2kp6dTtWrVsg8q8hdMeXUiPZ/bQR0qUoyDIXcfJ/bj1aZjiYiIyH9RbyreIC8vj6er3crs0zcBsJK91P38Zdq2bWs4mbgjfVNPxIslJSVZTVNIzd9umgBuqwcta5CXl0dSUlLZBhQpAQOHDuYtv90A+GDjhk0Z7N2713AqERER+W/qTcUb2O12qo18gAysF7g9yjUsnTTLcCpxVxrqiXix7Oxs64cmF3nCabNBk2q//ryIG6lSpQqnHw8hl0IAwmlM7DQ1TiIiIq5Gval4i0EjhzHfZxcAfvhQP+lHDh06ZDiVuCMN9US8WHBwsPXDzszf/5DDATuP//rzIm5mwOhIlrIHgED8KV6wmZycHMOpRERE5JfUm4q3qFmzJkc7NyafIgAGOhozf+Zcw6nEHWmoJ+LFQkNDsdvt8N1R636S37L5IKRkYLfbCQ0NLduAIiWkefPmfPW3K5zniLyGJCxYaDCRiIiI/Df1puJN+o2JYiX7AKhCeXLmfcS5c+cMpxJ3o6GeiBerWrUqYWFh1qH7Kqt5+vndOQ6Hde6+CoAePXroImJxa53GDeVjDgNwHUGkTl1OcXGx4VQiIiLyM/Wm4k1at27NP1vYnOeB565h2dKlBhOJO9Lbb0W8XHZ2Nu3atSM1NdUqtKxh3VOy8zikZADWt5ySk5MJCgoyF1TkLyoqKmJo7bbEZoQA8CHp5L87lAcffNBsMBEREXFSbyre5O9//zu1uy/jVmoCMKB+GnH7N2Oz2f7gN0Us+qaeiJcLDg4mOTmZ8PBwa90hJQNWpDnXGsLDw9U0iUfw9fWl6ejH2Yt1l9691GH1hDcMpxIREZFfUm8q3qRz584svfKI8/zwgUps2rTJYCJxN/qmnog4ZWZmkpSURHZ2NsHBwYSGhmqtQTzKqVOnmFi9PVPybwLgTb7n9rQ3adq0qeFkIiIi8t/Um4o3mDphEmHj06hLRYpxMOTu48R+vNp0LHETGuqJiIhXGT14JM/FnqES/pyjkHF9/IhZ9JbpWCIiIiLihbKysphR8z5eKbwRgJmk8uAPS7j22msNJxN3oPVbERHxKhFPR5LAbgAC8CMg8RtOnDhhOJWIiIiIeKMqVapwJqwV5ygEIJzGxL4+y3AqcRca6omIiFdp1KgRqXdWpRjri+qDCxsT92as4VQiIiIi4q0GjI5kKXsAqIw/joWfk5OTYziVuAMN9URExOs8NnYE6zkIQD0qsm/6OxQWFhpOJSIiIiLeqFmzZnx9c0XnOSKvIQkLFhpMJO5CQz0REfE6HTp0YE29085zz6yarF6tC4lFRERExIyHxw3lI9IBaEQgaVOXU1xcbDiVuDoN9URExOvYbDb+79ne7MC6S+92avH+BL0sQ0RERETMCA0N5e81s5znx36qwvr16w0mEnegoZ6IiHil3n36EBew33lul1LEN998YzCRiIiIiHgrHx8fmo5+nB84BcA91GHNhDcMpxJXp6GeiIh4pYCAAK4YfDcnOA9AGNeSMHmm4VQiIiIi4q3CB/Rnvv0H5/n//nWGtLQ0g4nE1WmoJyIiXmvQEyOIs+0CwB9fqr/zb44ePWo4lYiIiIh4o8qVK0P4reSQD0BvGhE/dZbhVOLKNNQTERGvVa9ePfY/UJ9CrEuIBxU3Jna21hxERERExIxBT0eyEOuhcwB+VFy+jaysrD/4LfFWGuqJiIhX6/VsJO9g3a1XgwCOzV5PXl6e4VQiIiIi4o2uvfZadtxdg2IcAAwqvI74N2MNpxJXpaGeiIh4tbZt2/JB4wLnOfx0PVYsX24wkYiIiIh4s+5jR/AeBwGoS0X2T3+HgoKCP/gt8UYa6omIiFez2WzcOXYAWzkOwE1U49OJC3A4HIaTiYiIiIg3uvvuu1l39RnnudeJq1i9erXBROKqNNQTERGv1617dxIqH3Se799jZ/PmzQYTiYiIiIi3stls3PxsH1I5AcCt1OSDCW8ZTiWuSEM9ERHxena7nZqRD3KUcwB05mqWTZptOJWIiIiIeKuevXoRH7Dfeb5zu4OtW7caTCSuSEM9ERERIGLEUGJ9rTeN+eFDg/cPcuDAAcOpRERERMQbBQQEUHloB7I4D0B3GpAwaabhVOJqNNQTEREBatSowfEuTcijCICBNCY2Zo7hVCIiIiLirSKihhNnsx46++NLzTW7+OmnnwynEleioZ6IiMh/hI+JYgV7AbiS8pyL3cTZs2cNpxIRERERb1S3bl0OhF5NIcUARBQ3Zv6ceYZTiSvRUE9EROQ/brzxRpJD/JzngbkNWLJ4scFEIiIiIuLNej0byT+w7tarQQDHZ68nLy/PcCpxFRrqiYiI/ML94wbzGdZaQ1OuZMukJTgcDsOpRERERMQb3XLLLXx4faHzHH66PiuWLzeYSFyJhnoiIiK/8Mgjj5BY9ajz3PlQZTZu3GgwkYiIiIh4K5vNxl1jB7CFYwDcSFWSJy7QQ2cBNNQTERH5FT8/PxpEP8oBTgPwIPVZNXGu4VQiIiIi4q26de/OosB05/n+PXY2b95sMJG4Cg31RERE/suAwRHE+u12npt/msnu3bsv8hsiIiIiIqXD39+fmpEP8hPnAOjM1SybONtwKnEFGuqJiIj8lyuvvJLcnjdxDuv+knCuY/7rswynEhERERFvFTF8CLG+uwDwxYdrNxziwIEDhlOJaRrqiYiI/IaBo6NYjPXtvEr447PoX5w6dcpwKhERERHxRjVq1CDr0RvIowiAgTQmNmaO4VRimoZ6IiIiv+GGG25g6y2VnedB+Y1YGBdvMJGIiIiIeLPwMVEs5wcAgrGTG/sJZ8+eNZxKTNJQT0RE5Hd0HjeMD7EuJb6WyuyYupKioiLDqURERETEG7Vq1YrPWpVzngfmNmDJ4sUGE4lpGuqJiIj8jvvvv5+3rzrhPD9+rBrvvfeewUQiIiIi4s0eGDeEZH4C4AaC2TppCQ6Hw3AqMUVDPRERkd/h4+ND89Fh7OYkAO2pzboJ88yGEhERERGv9fDDD5NY9ajz3PlQIBs3bjSYSEzSUE9EROQi+vUPZ375vc5zmy3n2L59u8FEIiIiIuKt/Pz8aPhUVw5wGoBQ6rFqwlzDqcQUDfVEREQuolKlSvj2v41T5APQi0YsmDrLcCoRERER8VYDBkcQW26P89wiOZPdu3cbTCSmaKgnIiLyBwY9FclCdgFQAT8qrUwhMzPTcCoRERER8UbBwcGc73UTZykAoB/XMf91PXT2RhrqiYiI/IEGDRrwffuaFGNdQjy48Dri5r1lOJWIiIiIeKuBo6JYjPVtvUr447voX5w6dcpwKilrGuqJiIhcgsfHjuBdDgBQh4ociFlDQUGB4VQiIiIi4o2aNGnCN20DnedB+Y1YGBdvMJGYoKGeiIjIJbjrrrtYd/UZ57l39lX84x//MJhIRERERLxZl3HD+IBDADSgMt9PXUlRUZHhVFKWNNQTERG5BDabjVvG9iOVEwC0pSYfTog1nEpEREREvNV9993H21dlO8+PH6vGe++9ZzCRlDUN9URERC5Rz169iL9iv/N8dxp8/fXXBhOJiIiIiLfy8fGh5TM92MVJAO6mNu9OmGc2lJQpDfVEREQuUYUKFag89B4yOQ9ANxqwaLLeNCYiIiIiZvQN78f88nud5zZbctm+fbvBRFKWNNQTERH5EwZFDSfO9m8A/PGl1prdHDlyxHAqEREREfFGlSpVotyA2zlFPgA9aciCqXro7C001BMREfkT6tSpw6GHrqWAYgAGOa5n/uw3DKcSEREREW816KlI4tkFQAX8qLwihePHjxtOJWXB5nA4HKZDiIiIiIiIiIiIyKXTN/VERERERERERETcjIZ6IiIiIiIiIiIibkZDPRERERERERERETejoZ6IiIiIiIiIiIib0VBPRERERERERETEzWioJyIiIiIiIiIi4mY01BMREREREREREXEzGuqJiIiIiIiIiIi4GQ31RERERERERERE3Mz/A32NvBgeBlLXAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 1700x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# try examining a point and its distance to relevant decision boundaries\n",
    "demo1.point_and_projection(point1 = [0.4,1] ,point2 = [0.6,1]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "fdTzo0QCOONN"
   },
   "source": [
    "Beginning with the point shown on the left, which class should we assign this point to?\n",
    "\n",
    "Recall, when we discussed logistic regression, that we think of a classifier as being 'more confident' of the class identity of given a point the *farther* the point lies from the classifier's decision boundary. This is a simple geometric/ probabilistic concept, the bigger a point's distance to the boundary the deeper into one region of a classifier's half-space it lies, and thus we can be much more confident in its class identity than a point closer to the boundary. Another way we can think about it - imagine if we slightly perturbed the decision boundary: those points originally close to its boundary might end up on the other side of the perturbed hyperplane, changing classes, whereas those points farther from the boundary are less likely to be so affected (hence we can be more confident in their class identities to begin with)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "iPzXB5JDOONO"
   },
   "source": [
    "With this in mind, which classifier can we say is more confident about this point?  The answer is the red one since our input point lies a greater distance from it. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "mIlsxmBrOONO"
   },
   "source": [
    "What about the point shown in the right panel? By the same logic it is best assigned to the blue class, being at a greater distance from the blue classifier."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "aRN-X9j6OONO"
   },
   "source": [
    "If we repeat this logic for every point in the region - as well as those points in the other two regions where two or more classifiers are positive - and color each point the color of its respective class, we will end up shading each such region as shown by the Python cell below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "id": "VQJRjAC_OONO",
    "outputId": "0d2d6d8a-b9d9-4564-bd8b-6e057e0acbb9"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1700x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# color points belonging on the positive side of two or more classifiers\n",
    "demo1.show_fusion(region = 2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "fqO3wopDOONO"
   },
   "source": [
    "And how do those points equidistant to two or more decision boundaries get assigned to a class?  In the same way points lying on a two-class decision boundary do: we assign a class label at random. These points form the *multi-class decision boundary*."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "jjFEtIblOONP"
   },
   "source": [
    "How do we formalize this rule? In these regions we have assigned each point to the class whose boundary is at the *largest nonnegative* distance from it.  How do we compute the distance of an arbitrary point to each of our decision boundaries?\n",
    "\n",
    "As we saw in [Section 6.3](https://jermwatt.github.io/machine_learning_refined/notes/6_Linear_twoclass_classification/6_3_Softmax.html), the *signed distance* of an arbitrary point $\\mathbf{x}$ to the $j^{th}$ linear decision boundary is equal to the evaluation at this boundary *provided we normalize its parameters by the magnitude of its feature-touching weights* (which is also the *normal vector* to the separating hyperplane).  We can express this by using notation that exposes the bias and feature-touching weights of each classifier \n",
    "\n",
    "\\begin{equation}\n",
    "\\text{(bias):}\\,\\, b_j = w_{0,j} \\,\\,\\,\\,\\,\\,\\,\\, \\text{(feature-touching weights):} \\,\\,\\,\\,\\,\\, \\boldsymbol{\\omega}_j = \n",
    "\\begin{bmatrix}\n",
    "w_{1,j} \\\\\n",
    "w_{2,j} \\\\ \n",
    "\\vdots \\\\\n",
    "w_{N,j}\n",
    "\\end{bmatrix}.\n",
    "\\end{equation}\n",
    "\n",
    "With this notation we have that the \n",
    "\n",
    "\\begin{equation}\n",
    "\\text{signed distance of $\\mathbf{x}$ to $j^{th}$ boundary} =  \\frac{\\mathring{\\mathbf{x}}_{\\,}^T \\mathbf{w}_j }{\\left\\Vert \\boldsymbol{\\omega}_{j}^{\\,} \\right\\Vert_2}\n",
    "\\end{equation}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "58rDtzzDOONP"
   },
   "source": [
    "Therefore if we *normalize* the weights of each linear classifier by the length of its normal vector as\n",
    "\n",
    "\\begin{equation}\n",
    "\\mathbf{w}_{j}^{\\,} \\longleftarrow \\frac{\\mathbf{w}_{j}^{\\,}}{\\left\\Vert \\boldsymbol{\\omega}_{j}^{\\,} \\right\\Vert_2}\n",
    "\\end{equation}\n",
    "\n",
    "which we will assume from here on, then this distance is simply written as the raw evalaution of the point via the decision boundary as\n",
    "\n",
    "\\begin{equation}\n",
    "\\text{signed distance of $\\mathbf{x}$ to $j^{th}$ boundary} =  \\mathring{\\mathbf{x}}_{\\,}^T \\mathbf{w}_j\n",
    "\\end{equation}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "TOjL_rXVOONP"
   },
   "source": [
    "To assign a point in one of our current regions we seek out the classifier which *maximizes* this quantity. That is, we have found that - after weight-normalization - we have precisely the same prediction rule we found originally for regions of the space where only a single classifier is positive\n",
    "\n",
    "\\begin{equation}\n",
    "y =  \\underset{c \\,=\\, 0,...,C-1}{\\text{argmax}} \\,\\,\\,\\mathring{\\mathbf{x}}_{\\,}^T \\mathbf{w}_c.\n",
    "\\end{equation}\n",
    "\n",
    "So the same rule above can be used in any region of the space where at least one classifier is positive."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "ypAbggfOOONP"
   },
   "source": [
    "##  Points on the negative side of all classifiers"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "_AqB3JABOONP"
   },
   "source": [
    "Finally, what about the middle blank region of our dataset - where all of our classifiers are negative?  How shall we assign class labels to these points.  Once again let us examine two points in this region and reason out what should be done."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "id": "fxZnCWCHOONP",
    "outputId": "387427bd-67ec-4794-c101-6026c9a36435"
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1700x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# try examining a point and its distance to relevant decision boundaries\n",
    "demo1.point_and_projection(point1 = [0.4,0.5] ,point2 = [0.45,0.45])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "B5rMfgBjOONQ"
   },
   "source": [
    "Lets start with the point on the left. This point, like all those in the middle region, are on the negative side of all our classifiers. In other words, when trained, each of our $C$ two-class classifiers designated these points as *not* in their respective class. Thus we cannot argue - as we did at points on the positive side of multiple classifiers - that one classifier is more 'confident' in the class identity of such points. So what about the opposite question, i.e., which classifier is the least 'unsure' about the class identity of this point?  Which class is the point the least dissimilar spatially given our decision boundaries?  *Not* the boundary it is furthest from as was the case previously, but the one it is *closest* to. In the case of our example point on the left it lies closest to the red decision boundary - it is closest to being a red class point - hence we assign it to the red class.  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "GhNKyzw9OONQ"
   },
   "source": [
    "By the same reason our point on the right - which lies closest to the green decision boundary - is assigned to the green class. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "w56MtmVOOONQ"
   },
   "source": [
    "If we repeat this logic for every point in the region and color each point the color of its respective class, we will end up shading this region as shown by the Python cell below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "id": "KKHYMErAOONQ",
    "outputId": "a470f3cd-69f1-4572-8610-89cd0fb43179"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1700x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# color the region on which all classifiers are negative\n",
    "demo1.show_fusion(region = 3);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "oDwBY7TUOONQ"
   },
   "source": [
    "As in the previous case, those points equidistant to two or more decision boundaries form the multi-class boundary and are assigned to a relevant class at random."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "U18blqtJOONR"
   },
   "source": [
    "We can formalize this rule by noting that - once again - our reasoning has led us to assign a point to the class whose boundary is at the largest signed distance from it. Every point in the region lies on the negative side of our classifiers and all signed distances are negative. Hence the shortest distance *in magnitude* is the largest *signed* distance, being the smallest (in magnitude) negative number. Conversely the largest distance *in magnitude* is the largest (in magnitude) negative number, and hence the smallest *signed* distance.  \n",
    "\n",
    "Thus once again (assuming the weights of our classifiers have been normalized) for an input point $\\mathbf{x}$ we assign the label $y$ providing the maximum signed distance, i.e.,\n",
    "\n",
    "\\begin{equation}\n",
    "y =  \\underset{c \\,=\\, 0,...,C-1}{\\text{argmax}} \\,\\,\\,\\mathring{\\mathbf{x}}_{\\,}^T \\mathbf{w}_c.\n",
    "\\end{equation}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "eHrHMAg6OONR"
   },
   "source": [
    "##  Putting it all together"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "W53fynvvOONR"
   },
   "source": [
    "We have now deduced that the single rule for assigning a label $y$ to a point $\\mathbf{x}$ \n",
    "\n",
    "\\begin{equation}\n",
    "y =  \\underset{c \\,=\\, 0,...,C-1}{\\text{argmax}} \\,\\,\\,\\mathring{\\mathbf{x}}_{\\,}^T \\mathbf{w}_c.\n",
    "\\end{equation}\n",
    "\n",
    "which assigns the label based on the maximum signed distance of this point to each classifier, applies to the entire space of our problem (and - in general - to any multi-class problem). In fact this rule not only applies to the toy $C = 3$  dataset we have used in deriving the rule here, but to all multi-class datasets. Indeed we could have used any dataset (even those that are not completely separable) in our derivations here, as any multi-class problem can be broken down into the three fundamental regions we have seen in these derivations: regions where points are on the positive side of a single classifier, more than one classifier, or are on the negative side of all classifiers.\n",
    "\n",
    "We call this the *fusion rule* - since it tells us precisely how to fuse our $C$ individual classifiers together to make a unified and consistent classification across the entire space of any dataset. It is the core of the *One-versus-All* algorithm, which we now state formally."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "HvLfnVgnOONR"
   },
   "source": [
    "**Note:** In practice it is common to see implementations that skip the normalization in step 5.  This can theoretically lead to poor classification due to different sized normal vectors creating out of scale distance-to-clsasifier measurements.  However because often each classifier is trained using the same optimization framework - e.g., the same sized initialization and optimization algorithm - the resulting size of each trained normal vector can end up being around the same size (hence reducing the need for normalization)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "So1ThQQUOONR"
   },
   "source": [
    "### One-versus-All  multi-class classification\n",
    "\n",
    "<hr style=\"height:1px;border:none;color:#555;background-color:#555;\">\n",
    "<p style=\"line-height: 1.7;\">\n",
    "<strong>1:</strong>&nbsp;&nbsp; <strong>Input:</strong> multiclass dataset $\\left\\{ \\left(\\mathbf{x}_{p,}\\,y_{p}\\right)\\right\\} _{p=1}^{P}$ where $y_{p}\\in\\left\\{ 0,...,C-1\\right\\}$, two-class classification scheme and optimizer <br>\n",
    "\n",
    "<strong>2:</strong>&nbsp;&nbsp; <code>for</code> $\\,\\,j \\, = \\, 0,...,C-1$<br>\n",
    "\n",
    "<strong>3:</strong>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; form temporary labels $\\tilde y_p = \\begin{cases}   +1 \\,\\,\\,\\,\\,\\,\\text{if}\\,\\, y_p = j \\\\ -1 \\,\\,\\,\\,\\,\\,\\text{if}\\,\\, y_p \\neq j    \\end{cases}$ <br><br>\n",
    "\n",
    "<strong>4:</strong>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; solve two-class subproblem on $\\left\\{ \\left(\\mathbf{x}_{p,}\\,\\tilde y_{p}\\right)\\right\\} _{p=1}^{P}$ to find weights $\\mathbf{w}_j$\n",
    "<br><br>\n",
    "\n",
    "<strong>5:</strong>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; normalize classifier weights by magnitude of feature-touching portion $\\mathbf{w}_{j}^{\\,} \\longleftarrow \\frac{\\mathbf{w}_{j}^{\\,} }{\\left\\Vert \\boldsymbol{\\omega}_{j}^{\\,} \\right\\Vert_2}$ \n",
    "<br>\n",
    "\n",
    "<strong>6:</strong>&nbsp;&nbsp; <code>end for</code> <br>\n",
    "\n",
    "<strong>7:</strong>&nbsp;&nbsp; To assign label $y$ to a point $\\mathbf{x}$, apply the fusion rule: $y =  \\underset{c\\,=\\, 0,...,C-1}{\\text{argmax}} \\,\\,\\,\\mathring{\\mathbf{x}}_{\\,}^T \\mathbf{w}_c$<br>\n",
    "\n",
    "<hr style=\"height:1px;border:none;color:#555;background-color:#555;\">\n",
    "</p>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "ga1r_L38OONS"
   },
   "source": [
    "Having addressed every region in the space of our exemplar dataset, one might wonder what the entire space looks like after learning the decision boundary. We plot this in the next Python cell. In both the left and right panels below we correctly classify and color the entire space as described above. In the left panel we show the three original two-class linear decision boundaries, and on the right we show the multi-class decision boundary (in black) created by fusing these individual boundaries using the fusion rule. This black multi-class boundary arises at points where the fusion rule does not provide a unique solution - i.e., at points where two or more classifiers provide the maximum evaluation.\n",
    "\n",
    "The boundary resulting from the fusion rule is always piecewise-linear as with our example shown here. While the fusion rule explicitly defines this boundary it does not provide us with a closed form formula for it as with e.g., logistic regression (although one may work out a somewhat convoluted formula describing the boundary in general). In fact the piecewise-linear boundaries shown in the figures of this Section were drawn not by determining their formula but by labeling (and appropriately coloring) every point using the fusion rule."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "id": "LtkQFMvlOONS",
    "outputId": "73ca17c4-da4e-453f-a708-bd4111c1af35"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1700x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# classify and color the entire space using our individual classifiers and the fusion rule\n",
    "demo1.show_complete_coloring();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "hjVdj15FOONS"
   },
   "source": [
    "## Implementing a One-versus-All classifier in `Python`"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true,
    "id": "2f2B_Y9COONS"
   },
   "source": [
    "Since we have already discussed how to implement several two class classification schemes in the previous Chapter, here we will only describe an efficient way of implementing the *fusion rule* in `Python`.  \n",
    "\n",
    "To take advantage of the `numpy` libraries fast array operations we use the notation first initroduced in [Section 5.6](https://jermwatt.github.io/machine_learning_refined/notes/5_Linear_regression/5_6_Multi.html), we stack the trained weights from our $C$ classifiers together into a single $\\left(N + 1\\right) \\times C$ array of the form\n",
    "\n",
    "\\begin{equation}\n",
    "\\mathbf{W}=\\begin{bmatrix} \n",
    "w_{0,0}  &  w_{0,1}  &  w_{0,2}  & \\cdots   &  w_{0,C-1}  \\\\\n",
    "w_{1,0}  &  w_{1,1}  &  w_{1,2}  & \\cdots  &   w_{1,C-1}  \\\\\n",
    "w_{2,0}  &  w_{2,1}  &  w_{2,2}  & \\cdots  &  w_{2,C-1}  \\\\\n",
    "\\,\\,\\, {\\vdots}_{\\,\\,\\,}  & {\\vdots}_{\\,\\,\\,}  &  {\\vdots}_{\\,\\,\\,}  &  \\cdots   &    {\\vdots}_{\\,\\,\\,}    \\\\\n",
    "w_{N,0}  &  w_{N,1} & w_{N,2}  &  \\cdots  &  w_{N,C-1}  \\\\\n",
    "\\end{bmatrix}\n",
    "\\end{equation}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "6SX-qweFOONT"
   },
   "source": [
    "Here the bias and normal vector of the $c^{th}$ classifier have been stacked on top of one another and make up the $c^{th}$ column of the array.  Now lets extend our `model` notation to also denote the evaluation of our $C$ individual linear models as\n",
    "\n",
    "\n",
    "\\begin{equation}\n",
    "\\begin{matrix} \n",
    "\\text{model}\\left(\\mathbf{x},\\mathbf{W}\\right) = \\mathring{\\mathbf{x}}_{\\,}^T\\mathbf{W} \\end{matrix}  = \\begin{bmatrix}\n",
    "\\mathring{\\mathbf{x}}_{\\,}^T  \\overset{\\,}{\\mathbf{w}}_{0}^{\\,}   &\n",
    "\\mathring{\\mathbf{x}}_{\\,}^T  \\overset{\\,}{\\mathbf{w}}_{1}^{\\,}   &\n",
    "\\cdots \\, &\n",
    "\\mathring{\\mathbf{x}}_{\\,}^T  \\overset{\\,}{\\mathbf{w}}_{C-1}^{\\,}\n",
    "\\end{bmatrix}\n",
    "\\end{equation}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "xPGQ525gOONT"
   },
   "source": [
    "Note how this is precisely the same linear model used with multi-output regression as we saw in [Section 5.6](https://jermwatt.github.io/machine_learning_refined/notes/5_Linear_regression/5_6_Multi.html).  We can therefore re-use the implementation given there, which we repeat below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "id": "UtVtpVBkOONT"
   },
   "outputs": [],
   "source": [
    "# compute C linear combinations of input point, one per classifier\n",
    "def model(x,w):\n",
    "    a = w[0] + np.dot(x.T,w[1:])\n",
    "    return a.T"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "c0WRfJl8OONT"
   },
   "source": [
    "Notice that we can now write the fusion rule in this extended `model` notation equivalently as \n",
    "\n",
    "\\begin{equation}\n",
    "y = \\underset{c \\,=\\, 0,...,C-1} {\\text{max}}\\,\\text{model}\\left(\\mathbf{x},\\mathbf{W}\\right).\n",
    "\\end{equation}\n",
    "\n",
    "Hence - based on the `Python` function for our `model` above - we can implement the fusion rule quite simply as shown below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "id": "TTrnvPSOOONT"
   },
   "outputs": [],
   "source": [
    "# the fusion rule\n",
    "def fusion_rule(x,w):\n",
    "    return np.argmax(model(x,w))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "46lNZzRUOONT"
   },
   "source": [
    "#### <span style=\"color:#a50e3e;\">Example 1: </span> Classifying a dataset with $C = 4$ classes using OvA"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "dxihuJ7UOONU"
   },
   "source": [
    "In this example we quickly apply the OvA algorithm derived above to a toy dataset with $C=4$ classes shown below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "id": "MFE6cF1aOONU",
    "outputId": "32ee4e6a-c101-4f3a-a6cc-6bab2e9f59fe"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1700x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# load in dataset\n",
    "data3 = np.loadtxt(dataset_path_2,delimiter = ',');\n",
    "\n",
    "# create an instance of the ova demo\n",
    "demo3 = section_7_2_helpers.OvaVsualizer(data3)\n",
    "\n",
    "# visualize dataset\n",
    "demo3.show_dataset();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "xeYPlnb8OONU"
   },
   "source": [
    "Note with this dataset that each class is *not* linearly separable from the remainder of the data. This is no matter - the OvA framework still produces an appropriate multi-class boundary.  We solve our $C$ two-class subproblems."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "JJB0gFa_OONU"
   },
   "source": [
    "With our subproblems solved we can use the fusion rule to classify our entire input space.  The Python cell below shows this printing out two panels with all points in the space colored according to the fusion rule in each panel.  The left panel also shows the individual learned two-class classifiers, while the right panel shows the final multi-class decision boundary, which does a fine job of distinguishing the four classes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "id": "_JlCJlWWOONV",
    "outputId": "0f799eb8-b4ea-451f-9753-0ed13c4811c9"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1700x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# solve the 2-class subproblems\n",
    "demo3.solve_2class_subproblems()\n",
    "\n",
    "# classify and color the entire space using our individual classifiers and the fusion rule\n",
    "demo3.show_complete_coloring()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "RrXQoyKQOONV"
   },
   "source": [
    "##   Interpreting the fusion rule as a discrete step function"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "9brlLplaOONV"
   },
   "source": [
    "In deriving the fusion rule above viewed the problem of multi-class classification 'from above', meaning (as detailed in e.g., [Section 6.2](https://jermwatt.github.io/machine_learning_refined/notes/6_Linear_twoclass_classification/6_2_Cross_entropy.html)) that we viewed our data in the input feature space coloring the value of each label instead of plotting our output as a dimension of the data.  However if we view our multi-class data 'from the side' we can indeed view the fusion rule as a *discrete step function for multi-class data*.  Further when using label values $y_p \\in \\left\\{0,1,...,C-1\\right\\}$ this discrete step function takes on the same values."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "HqTPulrgOONV"
   },
   "source": [
    "We an visualize this discrete step function for the primary dataset employed in this Section by evaluating the fusion rule over a fine set of input values using the range of the data and visualizing the result.  Instead of visualizing these points 'from above' as we have been doing, and coloring them to denote class ownership, we can plot the result as a *surface* to visualze the fusion rule as a discrete step.  We show this below - in the left panel is our view of the data and fusion rule 'from above', and in the right panel is the same setup shown 'from the side' with the fusion rule displayed as a discrete step function.  Note that the jagged edges on some of the steps in the right panel are merely an artifact of the plotting mechanism (Python's matplotlib library) used to generate the three dimensional plot.  In reality the edges of each step are smooth like the fused decision boundary shown in the input space."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "id": "3Btev4VROONV",
    "outputId": "9fab3a5d-9aed-4d5c-84c4-6ea3b85150ba"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1700x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# load in dataset\n",
    "data4 = np.loadtxt(dataset_path_1,delimiter = ',');\n",
    "\n",
    "# create an instance of the ova demo\n",
    "demo4 = section_7_2_helpers.OvaVsualizer(data4)\n",
    "\n",
    "# solve the 2-class subproblems\n",
    "demo4.solve_2class_subproblems()\n",
    "\n",
    "# plot classification of space, individual learned classifiers (left panel) and joint boundary (middle panel), and cost-function panel in the right panel\n",
    "demo4.show_discrete_step([demo4.W.T],view = [12,-44])"
   ]
  }
 ],
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